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.

A322216 G.f.: Product_{n>=1} (1 - 2*x^n)^3.

This page as a plain text file.
%I A322216 #9 Dec 10 2018 16:37:40
%S A322216 1,-6,6,22,-30,-30,-26,102,138,-94,6,-450,-214,258,462,846,234,618,
%T A322216 -1490,-2274,-2382,554,-402,2070,8178,3018,7638,-3226,-4878,-15246,
%U A322216 -14954,-10506,-13158,-6510,22710,46830,29754,64434,12702,25278,-29862,-63654,-130562,-107922,-144990,-131526,-15810,58278,284162,180378,460422,309686,388866,234018,159046,-568986,-636246,-736254,-1241082,-1307106,-971222
%N A322216 G.f.: Product_{n>=1} (1 - 2*x^n)^3.
%C A322216 Antidiagonal sums of square table A322215.
%H A322216 Paul D. Hanna, <a href="/A322216/b322216.txt">Table of n, a(n) for n = 0..4100</a>
%e A322216 G.f.: A(x) = 1 - 6*x + 6*x^2 + 22*x^3 - 30*x^4 - 30*x^5 - 26*x^6 + 102*x^7 + 138*x^8 - 94*x^9 + 6*x^10 - 450*x^11 - 214*x^12 + 258*x^13 + 462*x^14 + 846*x^15 + 234*x^16 + 618*x^17 - 1490*x^18 - 2274*x^19 - 2382*x^20 + ...
%e A322216 such that
%e A322216 A(x) = (1-2*x)^3 * (1-2*x^2)^3 * (1-2*x^3)^3 * (1-2*x^4)^3 * (1-2*x^5)^3 * ...
%o A322216 (PARI) {a(n) = polcoeff( prod(m=1, n, 1 - 2*x^m +x*O(x^n) )^3, n)}
%o A322216 for(n=0,60, print1(a(n),", "))
%Y A322216 Cf. A322215, A322214.
%K A322216 sign
%O A322216 0,2
%A A322216 _Paul D. Hanna_, Dec 10 2018