A064302 Sixth diagonal of triangle A064094.

1, 42, 381, 1606, 4641, 10746, 21517, 38886, 65121, 102826, 154941, 224742, 315841, 432186, 578061, 758086, 977217, 1240746, 1554301, 1923846, 2355681, 2856442, 3433101, 4092966, 4843681, 5693226

Offset

0,2

Links

Stefano Spezia, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = 1 + 4*n + 9*n^2 + 14*n^3 + 14*n^4, compare to row n = 4 of Catalan triangle A009766.

G.f.: (1 + 37*x + 181*x^2 + 111*x^3 + 6*x^4)/(1 - x)^5.

E.g.f.: exp(x)*(1 + 41*x + 149*x^2 + 98*x^3 + 14*x^4). - Stefano Spezia, Jul 24 2022

Crossrefs

Cf. A009766, A064094, A064096 (fifth diagonal).

Sequence in context: A105919 A091082 A189496 * A231705 A224455 A114928

Adjacent sequences: A064299 A064300 A064301 * A064303 A064304 A064305

Keyword

nonn,easy

Author

Wolfdieter Lang, Sep 13 2001

Status

approved