The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A060060 Third column of triangle A060058. 4
 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 (list; graph; refs; listen; history; text; internal format)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 20 16:35 EDT 2022. Contains 353875 sequences. (Running on oeis4.)