A017783 Binomial coefficients C(67,n).
1, 67, 2211, 47905, 766480, 9657648, 99795696, 869648208, 6522361560, 42757703560, 247994680648, 1285063345176, 5996962277488, 25371763481680, 97862516286480, 345780890878896, 1123787895356412, 3371363686069236, 9364899127970100, 24151581961607100
Offset: 0
Links
- Nathaniel Johnston, Table of n, a(n) for n = 0..67 (full sequence)
Programs
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Magma
[Binomial(67,n): n in [0..67]]; // G. C. Greubel, Nov 14 2018
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Maple
seq(binomial(67,n), n=0..67); # Nathaniel Johnston, Jun 24 2011
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Mathematica
Binomial[67, Range[0,67]] (* G. C. Greubel, Nov 14 2018 *)
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PARI
vector(67, n, n--; binomial(67,n)) \\ G. C. Greubel, Nov 14 2018
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Sage
[binomial(67, n) for n in range(18)] # Zerinvary Lajos, May 28 2009
Formula
From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^67.
E.g.f.: 1F1(-67; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
Comments