A192146 1-sequence of reduction of pentagonal numbers sequence by x^2 -> x+1.

0, 5, 17, 61, 166, 421, 981, 2177, 4634, 9564, 19244, 37934, 73502, 140373, 264783, 494143, 913618, 1675387, 3050075, 5516865, 9920880, 17747270, 31597272, 56013036, 98903436, 174003461, 305107901, 533345617, 929655934, 1616151649

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..30.

Formula

Empirical g.f.: x^2*(5-3*x+8*x^2-2*x^3)/(1-x)/(1-x-x^2)^3. - Colin Barker, Feb 11 2012

Mathematica

(* See A192145. *)

Crossrefs

Cf. A192232, A192145.

Sequence in context: A389248 A142956 A273422 * A273607 A007483 A273503

Adjacent sequences: A192143 A192144 A192145 * A192147 A192148 A192149

Keyword

nonn

Author

Clark Kimberling, Jun 27 2011

Status

approved