A192144 1-sequence of reduction of hexagonal numbers sequence by x^2 -> x+1.

0, 6, 21, 77, 212, 542, 1270, 2830, 6043, 12503, 25208, 49772, 96572, 184646, 348641, 651201, 1204908, 2211018, 4027570, 7288750, 13113415, 23468331, 41799216, 74124312, 130925112, 230408262, 404121645, 706605365, 1231946948, 2142132278

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*(6-3*x+11*x^2-3*x^3)/(1-x)/(1-x-x^2)^3. [Colin Barker, Feb 11 2012]

Mathematica

(See A192143.)

Crossrefs

Cf. A192232, A192143.

Sequence in context: A054625 A192733 A344205 * A026628 A053768 A255719

Adjacent sequences: A192141 A192142 A192143 * A192145 A192146 A192147

Keyword

nonn

Author

Clark Kimberling, Jun 27 2011

Status

approved