A004360 Binomial coefficient C(6n,n-5).

1, 36, 861, 17296, 316251, 5461512, 90858768, 1473109704, 23446881315, 368136785016, 5720645481903, 88188515933856, 1350990969850340, 20592957740312160, 312629484400483356, 4730523156632595024, 71385361686398338425, 1074806010337667493600, 16152222381590798665800

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

Robert Israel, Table of n, a(n) for n = 5..855

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) = a(n)*72*(6*n+1)*(3*n+1)*(2*n+1)*(3*n+2)*(6*n+5)*(n+1)/(5*(5*n+6)*(5*n+7)*(5*n+8)*(5*n+9)*(n+2)*(n-4)). - Robert Israel, Feb 04 2018

a(n) ~ 64^n * 3^(6*n+1/2) / (5^(5*n+11/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Maple

seq(binomial(6*n, n-5), n=5..20); # Robert Israel, Feb 04 2018

Mathematica

a[n_] := Binomial[6*n, n-5]; Array[a, 25, 5] (* Amiram Eldar, Sep 09 2025 *)

Prog

(PARI) a(n) = binomial(6*n, n-5); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A028108 A001457 A203271 * A238931 A081142 A061694

Adjacent sequences: A004357 A004358 A004359 * A004361 A004362 A004363

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved