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.

A099060 The even bisection of A000594.

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%I A099060 #14 Jan 10 2025 04:34:51
%S A099060 -24,-1472,-6048,84480,-115920,-370944,401856,987136,2727432,-7109760,
%T A099060 -12830688,21288960,13865712,24647168,-29211840,-196706304,165742416,
%U A099060 167282496,-255874080,408038400,101267712,-786948864,-447438528,248758272,611981400,850430336,1758697920
%N A099060 The even bisection of A000594.
%H A099060 Amiram Eldar, <a href="/A099060/b099060.txt">Table of n, a(n) for n = 1..10000</a>
%F A099060 a(n) = A000594(2*n). - _Michael Somos_, Apr 17 2015
%e A099060 G.f. = -24*x - 1472*x^2 - 6048*x^3 + 84480*x^4 - 115920*x^5 - 370944*x^6 + ...
%e A099060 G.f. = -24*q^2 - 1472*q^4 - 6048*q^6 + 84480*q^8 - 115920*q^10 - 370944*q^12 + ...
%t A099060 a[ n_] := SeriesCoefficient[ q QPochhammer[q]^24, {q, 0, 2 n}]; (* _Michael Somos_, Apr 17 2015 *)
%t A099060 a[n_] := RamanujanTau[2*n]; Array[a, 30] (* _Amiram Eldar_, Jan 10 2025 *)
%o A099060 (PARI) {a(n) = if( n<0, 0, n = 2*n; polcoeff( x * eta(x + x * O(x^n))^24, n))}; /* _Michael Somos_, Apr 17 2015 */
%Y A099060 Cf. A000594, A099059.
%K A099060 sign
%O A099060 1,1
%A A099060 _N. J. A. Sloane_, Nov 15 2004
%E A099060 More terms from _Joshua Zucker_, May 15 2006