A004345 Binomial coefficient C(5n,n-3).

1, 20, 300, 4060, 52360, 658008, 8145060, 99884400, 1217566350, 14783142660, 179013799328, 2163842859360, 26123889412400, 315136287090800, 3799541229226200, 45795673964460816, 551876736990451095

Offset: 3

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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

• 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].

Programs

Mathematica

Table[Binomial[5n,n-3],{n,3,20}] (* Harvey P. Dale, Feb 13 2013 *)

Formula

D-finite with recurrence -8*(4*n+3)*(n-3)*(2*n+1)*(4*n+1)*a(n) +5*(5*n-4)*(5*n-3)*(5*n-2)*(5*n-1)*a(n-1)=0. - R. J. Mathar, Mar 19 2025