A004346 Binomial coefficient C(5n,n-4).

1, 25, 435, 6545, 91390, 1221759, 15890700, 202927725, 2558620845, 31966749880, 396704524216, 4898229264825, 60246643120300, 738799683460650, 9038619861406740, 110375347398090219, 1345860629046814650

Offset: 4

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].

Formula

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