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A017792 Binomial coefficients C(76,n). 3

%I #29 Jun 28 2023 21:52:07

%S 1,76,2850,70300,1282975,18474840,218618940,2186189400,18855883575,

%T 142466675900,954526728530,5727160371180,31022118677225,

%U 152724276564800,687259244541600,2840671544105280,10830060261901380,38223742100828400,125288932441604200

%N Binomial coefficients C(76,n).

%C Row 76 of Pascal's triangle (A007318).

%H Nathaniel Johnston, <a href="/A017792/b017792.txt">Table of n, a(n) for n = 0..76</a> (full sequence)

%F G.f.: (x+1)^76.

%F E.g.f.: 1F1(-74; 1; -x), where 1F1 is the confluent hypergeometric function. - _G. C. Greubel_, Nov 15 2018

%p seq(binomial(76,n), n=0..76); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[76, Range[0, 18]] (* _Alonso del Arte_, Dec 01 2017 *)

%o (Sage) [binomial(76, n) for n in range(17)] # _Zerinvary Lajos_, May 28 2009

%o (PARI) Vec((x+1)^76) \\ _Iain Fox_, Dec 01 2017

%o (PARI) vector(76, n, n--; binomial(76,n)) \\ _G. C. Greubel_, Nov 15 2018

%o (Magma) [Binomial(76,n): n in [0..76]]; // _G. C. Greubel_, Nov 15 2018

%o (GAP) List([0..76], n -> Binomial(76,n)); # _G. C. Greubel_, Nov 15 2018

%Y Cf. A010926-A011001, A017765-A017791, A017793-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)