A004344 Binomial coefficient C(5n+10,n).

1, 15, 190, 2300, 27405, 324632, 3838380, 45379620, 536878650, 6358402050, 75394027566, 895068996640, 10638894058520, 126600387152400, 1508152231077400, 17984495151670680, 214667221708410075, 2564603660132096265, 30664510802988208300, 366934961273420740200

Offset

0,2

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=0..19.

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) = C(5n+10,n) = (n+2)*A233738(n)/2. Wesley Ivan Hurt, Sep 01 2014

Maple

A004344:=n->binomial(5*n+10, n): seq(A004344(n), n=0..20); # Wesley Ivan Hurt, Sep 01 2014

Mathematica

Table[Binomial[5 n + 10, n], {n, 0, 20}] (* Wesley Ivan Hurt, Sep 01 2014 *)

Prog

(Magma) [Binomial(5*n+10, n) : n in [0..20]]; // Wesley Ivan Hurt, Sep 01 2014

Crossrefs

Cf. A233738.

Sequence in context: A286347 A016147 A145601 * A038339 A051545 A220528

Adjacent sequences: A004341 A004342 A004343 * A004345 A004346 A004347

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Name and offset changed by Wesley Ivan Hurt, Sep 01 2014

Status

approved