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 A067772 #11 Jun 18 2022 17:36:18 %S A067772 0,0,0,0,0,0,1,0,1,1,2,2,4,4,6,7,10,12,17,19,26,31,40,47,61,72,91,108, %T A067772 134,159,197,231,283,335,405,477,576,676,810,950,1131,1325,1572,1834, %U A067772 2166,2527,2970,3455,4051,4702,5493,6366,7412,8574,9959,11493,13315,15345,17729,20392 %N A067772 One half of the number of non-self-conjugate balanced partitions. %H A067772 Andrew Howroyd, <a href="/A067772/b067772.txt">Table of n, a(n) for n = 1..1000</a> %F A067772 a(n) = (A047993(n) - A000700(n))/2. %F A067772 a(n) = A331262(n)/2. - _Omar E. Pol_, Jun 18 2022 %o A067772 (PARI) seq(n) = {my(A=O(x*x^n), m=1); while(3*m^2-m <= 2*n, m++); Vec(1 + sum(k=1, m-1, (-1)^k * ( x^((3*k^2+k)/2) - x^((3*k^2-k)/2) ), A )/eta(x + A) - prod(k=1, (n+1)\2, 1 + x^(2*k-1) + A), -n)/2} \\ _Andrew Howroyd_, Apr 20 2021 %Y A067772 Cf. A000700, A000701, A047993, A331262. %K A067772 easy,nonn %O A067772 1,11 %A A067772 _Naohiro Nomoto_, Feb 06 2002 %E A067772 Terms a(37) and beyond from _Andrew Howroyd_, Apr 20 2021