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A064302
Sixth diagonal of triangle A064094.
4
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
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
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Sep 13 2001
STATUS
approved