%I #5 Oct 03 2018 03:50:05
%S 0,0,-2,-7,-10,-5,11,35,56,54,0,-143,-418,-871,-1547,-2485,-3712,
%T -5236,-7038,-9063,-11210,-13321,-15169,-16445,-16744,-15550,-12220,
%U -5967,4158,19285,40745,70091,109120,159896,224774,306425,407862,532467,684019,866723
%N a(n) = (1/720)*n*(n - 10)*(n - 1)*(n^3 - 34*n^2 + 181*n - 144).
%F a(n) = [x^5] DedekindEta(x)^n.
%F a(n) = A319933(n, 5).
%p a := n -> (1/720)*n*(n-10)*(n-1)*(n^3-34*n^2+181*n-144);
%p seq(a(n), n=0..39);
%Y Cf. A000012 (m=0), A001489 (m=1), A080956 (m=2), A167541 (m=3), A319930 (m=4), A319931 (m=5), this sequence (m=6).
%Y Cf. A319933.
%K sign
%O 0,3
%A _Peter Luschny_, Oct 02 2018