A192249 1-sequence of reduction of binomial coefficient sequence B(n,4)=A000332 by x^2 -> x+1.

0, 5, 20, 90, 300, 930, 2610, 6900, 17295, 41605, 96660, 218145, 480225, 1034765, 2188385, 4552745, 9334760, 18892805, 37794765, 74817520, 146702410, 285169310, 549948760, 1052879110, 2002263910, 3784182685, 7110957850, 13291250220

Offset

1,2

Comments

See A192232 for definition of "k-sequence of reduction of [sequence] by [substitution]".

Links

Table of n, a(n) for n=1..28.

Formula

a(n) = 5*A192069(n).

Conjecture: G.f.: 5*x^2*(1-2*x+4*x^2-3*x^3+x^4) / ( (x-1)*(x^2+x-1)^5 ). - R. J. Mathar, May 04 2014

Mathematica

(See A192248.)

Crossrefs

Cf. A192232, A192248, A192069.

Sequence in context: A011966 A271096 A269716 * A017966 A360076 A365115

Adjacent sequences: A192246 A192247 A192248 * A192250 A192251 A192252

Keyword

nonn

Author

Clark Kimberling, Jun 27 2011

Status

approved