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

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 74 of A007318.

Links

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

Crossrefs

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

Programs

GAP

List([0..74], n -> Binomial(74,n)); # G. C. Greubel, Nov 15 2018

Magma

[Binomial(74,n): n in [0..74]]; // G. C. Greubel, Nov 15 2018

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 *)

PARI

vector(74, n, n--; binomial(74,n)) \\ G. C. Greubel, Nov 15 2018

Sage

[binomial(74, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

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)