A004335 Binomial coefficient C(4n,n-5).

1, 24, 378, 4960, 58905, 658008, 7059052, 73629072, 752538150, 7575968400, 75394027566, 743595781824, 7282025622664, 70907466006720, 687259244541600, 6635869816740560, 63871405575418665, 613156553427009240, 5873182941643167150, 56151322242892212960, 535983370403809682970

Offset

5,2

References

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.

Links

Seiichi Manyama, Table of n, a(n) for n = 5..1000

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Formula

D-finite with recurrence -3*(3*n+5)*(n-5)*(3*n+4)*(n+1)*a(n) +8*n*(4*n-3)*(2*n-1)*(4*n-1)*a(n-1)=0. - R. J. Mathar, Jan 13 2025

Maple

A004335:=n->binomial(4*n, n-5): seq(A004335(n), n=5..30); # Wesley Ivan Hurt, Jan 16 2017

Mathematica

Table[Binomial[4*n, n - 5], {n, 5, 25}] (* Paolo Xausa, Jan 13 2025 *)

Crossrefs

Sequence in context: A025997 A028040 A025994 * A023954 A028036 A025977

Adjacent sequences: A004332 A004333 A004334 * A004336 A004337 A004338

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved