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A060103 Fourth column (m=3) of triangle A060102. 3
1, 13, 71, 259, 742, 1806, 3906, 7722, 14223, 24739, 41041, 65429, 100828, 150892, 220116, 313956, 438957, 602889, 814891, 1085623, 1427426, 1854490, 2383030, 3031470, 3820635, 4773951, 5917653 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

FORMULA

a(n)=(4*n^2+20*n+15 )*binomial(n+4, 4)/15.

G.f.: (1+6*x+x^2)/(1-x)^7.

a(0)=1, a(1)=13, a(2)=71, a(3)=259, a(4)=742, a(5)=1806, a(6)=3906, a(n)=7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7). - Harvey P. Dale, Dec 16 2012

MATHEMATICA

Table[((4n^2+20n+15)Binomial[n+4, 4])/15, {n, 0, 30}] (* or *) LinearRecurrence[ {7, -21, 35, -35, 21, -7, 1}, {1, 13, 71, 259, 742, 1806, 3906}, 30] (* Harvey P. Dale, Dec 16 2012 *)

CROSSREFS

A000012, A000290, A002417.

Sequence in context: A253776 A158941 A128003 * A141989 A159512 A104132

Adjacent sequences:  A060100 A060101 A060102 * A060104 A060105 A060106

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Apr 06 2001

STATUS

approved

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Last modified March 25 20:38 EDT 2019. Contains 321477 sequences. (Running on oeis4.)