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

Author

Wolfdieter Lang, Sep 13 2001

Keywords

• nonn
• easy

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).

Crossrefs

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

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