[2017 4-18] Puzzle Time

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Expand view Topic review: [2017 4-18] Puzzle Time

Re: [2017 4-18] Puzzle Time

by VellonKol » Thu Feb 16, 2023 8:45 pm

If you love collecting things, model making is definitely the hobby for you. Along with the other benefits we listed above, at the end of the building process, you're left with a beautiful scale model of a classic car, plane, or another vehicle to proudly display on the shelf and appreciate for years to come.

Re: [2017 4-18] Puzzle Time

by Semuel » Thu Feb 16, 2023 8:44 pm

Hi guys. I think many will agree with me that wooden model kits are ideal for those who want to create perfect wooden mechanical models with precision and accuracy. With a little patience, you can make detailed replicas of real equipment or vehicles in your own workshop using Wood Models Kits . The wood used for these models is of the highest quality and each piece has been skilfully cut and shaped to ensure they fit together perfectly without any issues. This ensures that the finished product will look exactly like the original item, providing an authentic experience for both seasoned hobbyists and budding builders alike. With wooden model sets, anyone can create perfect replicas of their favorite cars or items for display or use.

Re: [2017 4-18] Puzzle Time

by Monisa » Thu Feb 16, 2023 8:42 pm

When you assemble wooden models the creative side of your brain gets the exercise it needs. Creating a scale model is a whole art, and while you can follow the instructions exactly or paint the model in a historically accurate style, you can also go beyond and bring your own style. There is no right or wrong way to create a model - it all depends on your personal preferences and what you hope to get out of it.

Re: [2017 4-18] Puzzle Time

by BillMemerik » Thu Feb 16, 2023 8:35 pm

Hi. There's another kind of puzzle, such as wooden puzzle models, a great way to show your creative side as well as having a beautiful object to display at home or in the office. Not only are they fun and challenging to build, they are also designed with all the mechanics needed to make them move like the real objects they represent.

Wooden model kits make a great gift for friends and family who appreciate creating functional works of art.

Re: [2017 4-18] Puzzle Time

by codetaku » Wed Apr 19, 2017 6:37 pm

DrHammer wrote:I'll take my 14 points please.

{n∈Z|(∃x∈N)[n=H(x-1)+3H(x-2)-17H(x-3)-120H(x-4)+185H(x-5)+H(x-6)-208H(x-7)]}
Where Z are the integers, N is the set of natural numbers, and H is the Heaviside function.
Hahah, okay, I bow to you, that was a perfect answer.

And all future elements are -155. So elegant! You won't even introduce nonintegers!

Re: [2017 4-18] Puzzle Time

by DrHammer » Wed Apr 19, 2017 3:43 pm

I'll take my 14 points please.

{n∈Z|(∃x∈N)[n=H(x-1)+3H(x-2)-17H(x-3)-120H(x-4)+185H(x-5)+H(x-6)-208H(x-7)]}
Where Z are the integers, N is the set of natural numbers, and H is the Heaviside function.

Re: [2017 4-18] Puzzle Time

by codetaku » Wed Apr 19, 2017 1:01 pm

cmena2702 wrote:The obvious solution is the sequence defined as follows:

The sequence an is defined by:
{a1 = 0
a2 = 1
a3 = 4
a4 = -13
a5 = -133
a6 = 52
a7 = 53
a8 = -155} for an from N.

Yes, I am a dickhead. My area is pure mathematics; answers that are technically true but completely meaningless are what I do best.
I am willing to believe that your area is pure mathematics because anyone *sane* would be 0-indexing this sequence ;P but regardless, you seem to have missed the comma+ellipsis in the original sequence. This directly implies that the sequence has length greater than 8. Many even use it to imply that the sequence is infinite (perhaps repeating, but still infinite), but at the very least, not even a theoretical mathematician would put an ellipsis after the end of a finite sequence.

Re: [2017 4-18] Puzzle Time

by cmena2702 » Wed Apr 19, 2017 8:34 am

The obvious solution is the sequence defined as follows:

The sequence an is defined by:
{a1 = 0
a2 = 1
a3 = 4
a4 = -13
a5 = -133
a6 = 52
a7 = 53
a8 = -155} for an from N.

Yes, I am a dickhead. My area is pure mathematics; answers that are technically true but completely meaningless are what I do best.

Re: [2017 4-18] Puzzle Time

by ThePaulanator » Wed Apr 19, 2017 7:34 am

Someone should definitely submit it on oeis as the weinersmith numbers.

Re: [2017 4-18] Puzzle Time

by codetaku » Wed Apr 19, 2017 1:18 am

Woom wrote:My version is essentially the same, but rendered as:
( 4689 * n^6 - 112049 * n^5 + 1047459 * n^4 - 4845365 * n^3 + 11540256 * n^2 - 13231946 * n + 5601996 ) * n / 5040

(The next term is 8666.)
I just used matlab to get an estimate of the coefficients via polyfit (obviously I had to specify degree 7 since that's the "simplest" polynomial that fits these parameters, though there are infinitely many polynomials of greater degree that also fit this sequence).

Anyway, I concur that the next term is 8666 in the case that we assume the simplest possible pattern fit to the sequence. But let's be honest, there's no author intention because I doubt zach knows how to fit a polynomial to a set of points :P

Re: [2017 4-18] Puzzle Time

by Guest » Tue Apr 18, 2017 10:20 pm

I'm personally fond of the form
f(n) = ₙC₁ + 2 ₙC₂ − 22 ₙC₃ − 61 ₙC₄ + 552 ₙC₅ − 1940 ₙC₆ + 4689 ₙC₇.

Re: [2017 4-18] Puzzle Time

by King of Ferrets » Tue Apr 18, 2017 9:52 pm

Psssh, that's easy.

f(0) = 1
f(x) = 0 when x != 0

f(x-1)*1+f(x-2)*4+f(x-3)*-13+f(x-4)*-133+f(x-5)*52+f(x-6)*53+f(x-7)*-155

See? Simple! <.< >.>

Re: [2017 4-18] Puzzle Time

by Cryft » Tue Apr 18, 2017 5:54 pm

https://oeis.org/search?q=0%2C1%2C4%2C- ... &go=Search

If he was just randomly thinking "I wonder what sequence hasn't been used before..." then he really nailed it.

Re: [2017 4-18] Puzzle Time

by Woom » Tue Apr 18, 2017 5:23 pm

My version is essentially the same, but rendered as:
( 4689 * n^6 - 112049 * n^5 + 1047459 * n^4 - 4845365 * n^3 + 11540256 * n^2 - 13231946 * n + 5601996 ) * n / 5040

(The next term is 8666.)

Re: [2017 4-18] Puzzle Time

by IRLPinkiePie » Tue Apr 18, 2017 4:53 pm

i got it as (521/560)x^7 - (2587/90)x^6 + (43291/120)x^5 - (170393/72)x^4 + (2085781/240)x^3 - (6369907/360)x^2 + (638962/35)x - 7219, but to each their own, i guess~

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