%I #8 Feb 19 2019 18:16:28
%S 1,6,21,56,126,252,463,798,1308,2058,3129,4620,6650,9360,12915,17506,
%T 23352,30702,39837,51072,64758,81284,101079,124614,152404,185010,
%U 223041,267156,318066,376536,443387
%N Binomial transform of [1, 5, 10, 10, 5, 1, 1, -1, 1, -1, 1, ...].
%F A007318 * [1, 5, 10, 10, 5, 1, 1, -1, 1, -1, 1, ...]
%F From _Emeric Deutsch_, Jun 03 2008: (Start)
%F a(n) = n*(274 + 85*n + n^4)/60 for n >= 1.
%F G.f.: (1+x^6)/(1-x)^6. (End)
%e a(4) = 56 = (1, 3, 3, 1) dot (1, 5, 10, 10) = (1 + 15 + 30 + 10).
%p 1, seq((1/60)*n*(274+85*n^2+n^4),n=1..30); # _Emeric Deutsch_, Jun 03 2008
%Y Cf. A007318.
%K nonn
%O 0,2
%A _Gary W. Adamson_, May 12 2008
%E More terms from _Emeric Deutsch_, Jun 03 2008