Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #4 Mar 30 2012 18:58:49
%S 1,1,4,28,272,3375,50976,907578,18612224,432061533,11200000000,
%T 320680885976,10051252125696,342302635261067,12586048547315712,
%U 496928474121093750,20968759865037029376,941737183946729395897
%N a(0)=1, a(n)= n^(n-2)(7n^2-3n+2)/6 (n>0).
%C Main diagonal of square array defined by T(n,k)=k^n(n^3-3n^2+2n+6k^3)/(6k^3), in which rows have g.f. (1-3kx+3k^2x^2-(k^3-1)x^3)/(1-kx)^4.
%H Vincenzo Librandi, <a href="/A081917/b081917.txt">Table of n, a(n) for n = 0..100</a>
%Y Cf. A050407, A081913, A081914, A081915, A081916.
%K easy,nonn
%O 0,3
%A _Paul Barry_, Mar 31 2003