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.
%I A354656 #10 Sep 30 2023 18:02:34 %S A354656 1,30,340,2530,14595,70737,301070,1157820,4100785,13563010,42321840, %T A354656 125586440,356621070,973989030,2569116330,6567458520,16317741975, %U A354656 39504992395,93390535840,215983566780,489454806785,1088433416785,2378160809610,5111208572940,10816601842950 %N A354656 Column 3 of triangle A354650: a(n) = A354650(n,3), for n >= 1. %H A354656 Paul D. Hanna, <a href="/A354656/b354656.txt">Table of n, a(n) for n = 1..100</a> %F A354656 a(n) = (-1)^n * A354649(n,3), for n >= 1. %F A354656 a(n) = A354650(n,3), for n >= 1. %o A354656 (PARI) {A354650(n,k) = my(A=[1+y]); for(i=1,n, A = concat(A,0); %o A354656 A[#A] = polcoeff(y + sum(m=0,sqrtint(2*#A+9), (-1)^m * x^(m*(m-1)/2) * (1 - x^(2*m+1)) * Ser(A)^(m*(m+1)/2) ),#A-1) ); %o A354656 polcoeff(A[n+1],k,y)} %o A354656 for(n=1,30,print1(A354650(n,3),", ")) %Y A354656 Cf. A354649, A354650, A354655, A354657. %K A354656 nonn %O A354656 1,2 %A A354656 _Paul D. Hanna_, Jun 02 2022