cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A365206 Centered octachoral numbers.

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%I A365206 #8 Sep 25 2023 07:30:45
%S A365206 1,49,337,1249,3361,7441,14449,25537,42049,65521,97681,140449,195937,
%T A365206 266449,354481,462721,594049,751537,938449,1158241,1414561,1711249,
%U A365206 2052337,2442049,2884801,3385201,3948049,4578337,5281249,6062161,6926641,7880449,8929537
%N A365206 Centered octachoral numbers.
%C A365206 A octachoral number is a centered figurate number that represents a octachoron, which is a four-dimensional regular polytope composed of 8 cells (also known as tesseract).
%C A365206 One of the 6 centered regular polichoral (centered pentachoral, centered hexadecachoral, centered octachoral, centered icositetrachoral, centered hexacosichoral and centered hecatonicosachoral) numbers.
%H A365206 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/FigurateNumber.html">Figurate Number</a>.
%H A365206 Wikipedia, <a href="https://en.wikipedia.org/wiki/Tesseract">8-cell</a>.
%H A365206 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A365206 a(n) = 8*n^4 - 16*n^3 + 16*n^2 - 8n + 1.
%F A365206 G.f.: x*(1 + 44*x + 102*x^2 + 44*x^3 + x^4)/(1 - x)^5. - _Stefano Spezia_, Aug 26 2023
%t A365206 Table[8*n^4 - 16*n^3 + 16*n^2 - 8n + 1, {n, 1, 100}]
%Y A365206 Cf. A001844 (2D), A005917 (3D), A362863, A365204, A365205.
%K A365206 nonn,easy
%O A365206 1,2
%A A365206 _Léo Cymrot Cymbalista_, Aug 25 2023