A064302 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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).