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A017788 Binomial coefficients C(72,n). 3

%I #23 Jun 28 2023 21:50:27

%S 1,72,2556,59640,1028790,13991544,156238908,1473109704,11969016345,

%T 85113005120,536211932256,3022285436352,15363284301456,70907466006720,

%U 298824321028320,1155454041309504,4116305022165108,13559593014190944,41432089765583440

%N Binomial coefficients C(72,n).

%C Row 72 of A007318.

%H Nathaniel Johnston, <a href="/A017788/b017788.txt">Table of n, a(n) for n = 0..72</a> (full sequence)

%F From _G. C. Greubel_, Nov 15 2018: (Start)

%F G.f.: (1+x)^72.

%F E.g.f.: 1F1(-72; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

%p seq(binomial(72,n), n=0..72); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[72, Range[0,72]] (* _G. C. Greubel_, Nov 15 2018 *)

%o (Sage) [binomial(72, n) for n in range(17)] # _Zerinvary Lajos_, May 28 2009

%o (PARI) vector(72, n, n--; binomial(72,n)) \\ _G. C. Greubel_, Nov 15 2018

%o (Magma) [Binomial(72,n): n in [0..72]]; // _G. C. Greubel_, Nov 15 2018

%o (GAP) List([0..72], n -> Binomial(72,n)); # _G. C. Greubel_, Nov 15 2018

%Y Cf. A010926-A011001, A017765-A017787, A017789-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)