A017777 Binomial coefficients C(61,n).

1, 61, 1830, 35990, 521855, 5949147, 55525372, 436270780, 2944827765, 17341763505, 90177170226, 418094152866, 1742058970275, 6566222272575, 22512762077400, 70539987842520, 202802465047245, 536830054536825, 1312251244423350, 2969831763694950

Offset

0,2

Comments

Row 61 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..61 (full sequence)

Formula

From G. C. Greubel, Nov 13 2018: (Start)

G.f.: (1+x)^61.

E.g.f.: 1F1(-61; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(61, n), n=0..61); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[61, Range[0, 61]] (* G. C. Greubel, Nov 13 2018 *)

Prog

(Sage) [binomial(61, n) for n in range(18)] # Zerinvary Lajos, May 28 2009
(PARI) vector(61, n, n--; binomial(61, n)) \\ G. C. Greubel, Nov 13 2018
(Magma) [Binomial(61, n): n in [0..61]]; // G. C. Greubel, Nov 13 2018

Crossrefs

Cf. A010926-A011001, A017765-A017776, A017778-A017816.

Sequence in context: A211213 A229667 A242382 * A113054 A017724 A009841

Adjacent sequences: A017774 A017775 A017776 * A017778 A017779 A017780

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved