A105849 Row sums of number triangle A105848.

1, 3, 9, 28, 91, 308, 1079, 3888, 14332, 53810, 205075, 791250, 3084504, 12129506, 48056095, 191633546, 768535768, 3097705378, 12541851048, 50983349848, 208003171266, 851412895348, 3495527318559, 14390543072502, 59393240482618

Offset: 0

Author

Paul Barry, Apr 22 2005

Keywords

• easy
• nonn

Comments

Binomial transform of A105633.

Formula

G.f.: (1-2x-sqrt((1-6x+8x^2-4x^3)/(1-2x)))/(2x^2).

Conjecture: (n+2)*a(n) +2*(-4*n-3)*a(n-1) +4*(5*n-2)*a(n-2) +2*(-10*n+17)*a(n-3) +8*(n-3)*a(n-4)=0. - R. J. Mathar, Nov 16 2012