A112000 One half of third column (k=2) of triangle A111999.

-3, 65, -1190, 22050, -433125, 9144135, -208107900, 5099994900, -134219460375, 3781060408125, -113633468798850, 3631422078033750, -123022987568105625, 4405418319999571875, -166312279434175875000, 6602853358582065585000, -275059081486584416896875

Offset: 0

Author

Wolfdieter Lang, Sep 12 2005

Keywords

• sign
• easy

Crossrefs

Cf. Second (k=1) column: A000906(n+2)*(-1)^n = 2*A000457(n+2)*(-1)^n, n>=0.

Formula

a(n)=A111999(n+3, 2)/2, n>=0.

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