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A060104 Fifth column (m=4) of triangle A060102. 1
1, 19, 140, 660, 2370, 7062, 18348, 42900, 92235, 185185, 351208, 634712, 1100580, 1841100, 2984520, 4705464, 7237461, 10887855, 16055380, 23250700, 33120230, 46473570, 64314900, 87878700 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

FORMULA

a(n)=(2*n^2+10*n+7)*binomial(n+6, 6)/7.

G.f.: (1+10*x+5*x^2)/(1-x)^9.

a(0)=1, a(1)=19, a(2)=140, a(3)=660, a(4)=2370, a(5)=7062, a(6)=18348, a(7)=42900, a(8)=92235, a(n)=9*a(n-1)-36*a(n-2)+84*a(n-3)- 126*a(n-4)+ 126*a(n-5)-84*a(n-6)+36*a(n-7)-9*a(n-8)+a(n-9). - Harvey P. Dale, Nov 08 2012

MATHEMATICA

Table[(2n^2+10n+7) Binomial[n+6, 6]/7, {n, 0, 30}] (* or *) LinearRecurrence[ {9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 19, 140, 660, 2370, 7062, 18348, 42900, 92235}, 30] (* Harvey P. Dale, Nov 08 2012 *)

CROSSREFS

A060103.

Sequence in context: A235146 A057636 A104046 * A201151 A221600 A110694

Adjacent sequences:  A060101 A060102 A060103 * A060105 A060106 A060107

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Apr 06 2001

STATUS

approved

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Last modified March 21 22:19 EDT 2019. Contains 321382 sequences. (Running on oeis4.)