A017790 Binomial coefficients C(74,n).

1, 74, 2701, 64824, 1150626, 16108764, 185250786, 1799579064, 15071474661, 110524147514, 718406958841, 4179822305984, 21944067106416, 104656320045984, 456002537343216, 1824010149372864, 6726037425812436, 22947657099830664, 72667580816130436

Offset

0,2

Comments

Row 74 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..74 (full sequence)

Formula

From G. C. Greubel, Nov 15 2018: (Start)

G.f.: (1+x)^74.

E.g.f.: 1F1(-74; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(74, n), n=0..74); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[74, Range[0, 74]] (* G. C. Greubel, Nov 15 2018 *)

Prog

(Sage) [binomial(74, n) for n in range(17)] # Zerinvary Lajos, May 28 2009
(PARI) vector(74, n, n--; binomial(74, n)) \\ G. C. Greubel, Nov 15 2018
(Magma) [Binomial(74, n): n in [0..74]]; // G. C. Greubel, Nov 15 2018
(GAP) List([0..74], n -> Binomial(74, n)); # G. C. Greubel, Nov 15 2018

Crossrefs

Cf. A010926-A011001, A017765-A017789, A017791-A017816.

Sequence in context: A242146 A007033 A277941 * A035732 A017737 A358796

Adjacent sequences: A017787 A017788 A017789 * A017791 A017792 A017793

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved