The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

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 June 13 17:32 EDT 2024. Contains 373391 sequences. (Running on oeis4.)