A060103 Fourth column (m=3) of triangle A060102.

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

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

Cf. A000012, A000290, A002417, A060102.

Sequence in context: A253776 A158941 A128003 * A332943 A141989 A159512

Adjacent sequences: A060100 A060101 A060102 * A060104 A060105 A060106

Keyword

nonn,easy

Author

Wolfdieter Lang, Apr 06 2001

Status

approved