A004351 Binomial coefficient C(5*n,n-9).

1, 50, 1485, 34220, 677040, 12103014, 201359550, 3176716400, 48124511370, 706252528630, 10104934117421, 141629804643600, 1951641934005400, 26515202245096950, 355964264416391940, 4730523156632595024

Offset

9,2

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

Table of n, a(n) for n=9..24.

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

a(n+1) = 5*(5*n + 1)*(5*n + 2)*(5*n + 3)*(5*n + 4)*(n + 1)*a(n)/(8*(4*n + 13)*(2*n + 5)*(n - 8)*(4*n + 11)*(n + 3)). - Robert Israel, Feb 18 2024

Maple

seq(binomial(5*n, n-9), n=9..30); # Georg Fischer, Jun 03 2021

Mathematica

Table[Binomial[5*n, n-9], {n, 9, 30}] (* Harvey P. Dale, Feb 09 2015 *)

Prog

(PARI) a(n) = binomial(5*n, n-9) \\ Felix Fröhlich, Jun 03 2021

Crossrefs

Sequence in context: A231743 A140520 A114251 * A229316 A159177 A159176

Adjacent sequences: A004348 A004349 A004350 * A004352 A004353 A004354

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Offset corrected by Georg Fischer, Jun 03 2021

Status

approved