A133546 Binomial transform of [1,3,5,6,7,8,9,10,11,...] (i.e., positive integers except 2 and 4).

1, 4, 12, 31, 74, 169, 376, 823, 1782, 3829, 8180, 17395, 36850, 77809, 163824, 344047, 720878, 1507309, 3145708, 6553579, 13631466, 28311529, 58720232, 121634791, 251658214, 520093669, 1073741796, 2214592483, 4563402722

Offset: 1

Author

Gary W. Adamson, Sep 15 2007

Keywords

• nonn
• easy

Comments

Row sums of triangle A133545.

Examples

			a(3) = 12 = sum of row 3 terms of triangle A133545: (6+5+1).
a(4) = 31 = (1,3,3,1) dot (1,3,5,6) = (1+9+15+6).
		

Links

• Index entries for linear recurrences with constant coefficients, signature (6,-13,12,-4).

Crossrefs

Cf. A133545.

Formula

G.f.: x*((1-2*x+x^2-x^3)/((x-1)^2*(2*x-1)^2)).

Extensions

Extended, edited and formula added by Olivier Gérard, Oct 12 2007