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A064096 Fifth diagonal of triangle A064094. 3
1, 14, 67, 190, 413, 766, 1279, 1982, 2905, 4078, 5531, 7294, 9397, 11870, 14743, 18046, 21809, 26062, 30835, 36158, 42061, 48574, 55727, 63550, 72073, 81326, 91339, 102142, 113765, 126238, 139591 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = 1+3*n+5*n^2+5*n^3. Fourth row polynomial (n=3) of Catalan triangle A009766.

G.f.: (1+2*x)*(1+8*x+x^2)/(1-x)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - Wesley Ivan Hurt, Nov 17 2022

MATHEMATICA

CoefficientList[Series[(1 + 2*x)*(1 + 8*x + x^2)/(1 - x)^4, {x, 0, 50}], x] (* Wesley Ivan Hurt, Nov 17 2022 *)

CROSSREFS

Cf. A001844 (fourth diagonal), A009766, A064094.

Sequence in context: A249291 A280401 A221703 * A250141 A071616 A008529

Adjacent sequences: A064093 A064094 A064095 * A064097 A064098 A064099

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Sep 13 2001

STATUS

approved

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Last modified December 3 08:35 EST 2022. Contains 358515 sequences. (Running on oeis4.)