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A017777 Binomial coefficients C(61,n). 3

%I #25 Jun 28 2023 21:47:02

%S 1,61,1830,35990,521855,5949147,55525372,436270780,2944827765,

%T 17341763505,90177170226,418094152866,1742058970275,6566222272575,

%U 22512762077400,70539987842520,202802465047245,536830054536825,1312251244423350,2969831763694950

%N Binomial coefficients C(61,n).

%C Row 61 of A007318.

%H Nathaniel Johnston, <a href="/A017777/b017777.txt">Table of n, a(n) for n = 0..61</a> (full sequence)

%F From _G. C. Greubel_, Nov 13 2018: (Start)

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

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

%p seq(binomial(61,n), n=0..61); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[61, Range[0,61]] (* _G. C. Greubel_, Nov 13 2018 *)

%o (Sage) [binomial(61, n) for n in range(18)] # _Zerinvary Lajos_, May 28 2009

%o (PARI) vector(61, n, n--; binomial(61,n)) \\ _G. C. Greubel_, Nov 13 2018

%o (Magma) [Binomial(61,n): n in [0..61]]; // _G. C. Greubel_, Nov 13 2018

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

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 23 14:49 EDT 2024. Contains 371914 sequences. (Running on oeis4.)