A060060 Third column of triangle A060058.

5, 61, 331, 1211, 3486, 8526, 18522, 36762, 67947, 118547, 197197, 315133, 486668, 729708, 1066308, 1523268, 2132769, 2933049, 3969119, 5293519, 6967114, 9059930, 11652030, 14834430, 18710055, 23394735

Offset

0,1

Links

Indranil Ghosh, Table of n, a(n) for n = 0..5000

Formula

a(n) = A060058(n+2, 2) = binomial(n+4, 4)*(20*n^2+88*n+75)/(3*5).

G.f.: (5+26*x+9*x^2)/(1-x)^7 = p(2, x)/(1-x)^(2*3+1). p(2, x)=sum(A060063(2, m)*x^m, m=0..2).

Example

a(3) = binomial(7,4) * (20 * 3^2 + 88*3 +75) / 15 = (35 * 519)/15 = 1211. - Indranil Ghosh, Feb 21 2017

Mathematica

Table[(Binomial[n+4, 4]*(20*n^2+88*n+75)/15), {n, 0, 25}] (* Indranil Ghosh, Feb 21 2017 *)

Prog

(Python)
import math
def C(n, r):
....f=math.factorial
....return f(n)/f(r)/f(n-r)
def A060060(n):
....return C(n+4, 4)*(20*n**2+88*n+75)/15 # Indranil Ghosh, Feb 21 2017

Crossrefs

Sequence in context: A196214 A196681 A281713 * A183379 A345649 A000363

Adjacent sequences: A060057 A060058 A060059 * A060061 A060062 A060063

Keyword

nonn,easy

Author

Wolfdieter Lang, Mar 16 2001

Status

approved