OFFSET
0,13
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..1325
EXAMPLE
Array begins:
=====================================================
n\k | 0 1 2 3 4 5 6 7
----+------------------------------------------------
0 | 1 0 0 0 0 0 0 0 ...
1 | 1 1 1 1 1 1 1 1 ...
2 | 1 1 3 4 8 10 16 20 ...
3 | 1 3 11 31 84 198 440 904 ...
4 | 1 3 24 113 528 2003 6968 21593 ...
5 | 1 6 55 410 2710 15233 75258 331063 ...
6 | 1 6 99 1091 10488 82704 563864 3376134 ...
7 | 1 10 181 2722 34399 360676 3235551 25387944 ...
...
PROG
(PARI)
U(n, s) = {(s(1)^(n^2) + s(1)^(n%2)*(2*s(4)^(n^2\4) + s(2)^(n^2\2)) + 2*s(1)^n*s(2)^(n*(n-1)/2) + 2*(s(1)^(n%2)*s(2)^(n\2))^n )/8}
T(n, k)={polcoef(U(n, i->1/(1-x^i) + O(x*x^k)), k)}
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Andrew Howroyd, May 06 2021
STATUS
approved