A017770 Binomial coefficients C(54,n).
1, 54, 1431, 24804, 316251, 3162510, 25827165, 177100560, 1040465790, 5317936260, 23930713170, 95722852680, 343006888770, 1108176102180, 3245372870670, 8654327655120, 21094923659355, 47153358767970, 96926348578605, 183649923622620, 321387366339585
Offset: 0
Links
- Nathaniel Johnston, Table of n, a(n) for n = 0..54 (full sequence)
Programs
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Magma
[Binomial(54,n): n in [0..54]]; // G. C. Greubel, Nov 13 2018
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Maple
seq(binomial(54,n), n=0..54); # Nathaniel Johnston, Jun 24 2011
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Mathematica
Binomial[54,Range[0,54]] (* G. C. Greubel, Nov 13 2018 *)
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PARI
vector(54, n, n--; binomial(54,n)) \\ G. C. Greubel, Nov 13 2018
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Sage
[binomial(54, n) for n in range(55)] # Zerinvary Lajos, May 23 2009
Formula
From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^54.
E.g.f.: 1F1(-54; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
Comments