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%I #5 Jul 09 2017 08:41:31
%S -3,65,-1190,22050,-433125,9144135,-208107900,5099994900,
%T -134219460375,3781060408125,-113633468798850,3631422078033750,
%U -123022987568105625,4405418319999571875,-166312279434175875000,6602853358582065585000,-275059081486584416896875
%N One half of third column (k=2) of triangle A111999.
%F a(n)=A111999(n+3, 2)/2, n>=0.
%F Conjecture: +n*(4*n+5)*a(n) +(2*n+3)*(n+2)*(4*n+9)*a(n-1)=0. - _R. J. Mathar_, Jul 09 2017
%Y Cf. Second (k=1) column: A000906(n+2)*(-1)^n = 2*A000457(n+2)*(-1)^n, n>=0.
%K sign,easy
%O 0,1
%A _Wolfdieter Lang_, Sep 12 2005
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