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A017765 Binomial coefficients C(49,n). 53

%I #30 Jun 28 2023 21:43:16

%S 1,49,1176,18424,211876,1906884,13983816,85900584,450978066,

%T 2054455634,8217822536,29135916264,92263734836,262596783764,

%U 675248872536,1575580702584,3348108992991,6499270398159,11554258485616,18851684897584,28277527346376

%N Binomial coefficients C(49,n).

%C Row 49 of A007318.

%H Nathaniel Johnston, <a href="/A017765/b017765.txt">Table of n, a(n) for n = 0..49</a> (full sequence)

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

%F G.f.: (1+x)^49.

%F E.g.f.: 1F1(-49; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

%p seq(binomial(49,n), n=0..49); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[49,Range[0,50]] (* _Harvey P. Dale_, Feb 17 2015 *)

%o (Sage) [binomial(49, n) for n in range(50)] # _Zerinvary Lajos_, May 21 2009

%o (PARI) vector(49, n, n--; binomial(49,n)) \\ _G. C. Greubel_, Nov 13 2018

%o (Magma) [Binomial(49,n): n in [0..49]]; // _G. C. Greubel_, Nov 13 2018

%Y Cf. A010926-A011001, A017766-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 20 11:40 EDT 2024. Contains 371838 sequences. (Running on oeis4.)