A017784 Binomial coefficients C(68,n).
1, 68, 2278, 50116, 814385, 10424128, 109453344, 969443904, 7392009768, 49280065120, 290752384208, 1533058025824, 7282025622664, 31368725759168, 123234279768160, 443643407165376, 1469568786235308, 4495151581425648, 12736262814039336
Offset: 0
Links
- Nathaniel Johnston, Table of n, a(n) for n = 0..68 (full sequence)
Programs
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Magma
[Binomial(68,n): n in [0..68]]; // G. C. Greubel, Nov 14 2018
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Maple
seq(binomial(68,n), n=0..68); # Nathaniel Johnston, Jun 24 2011
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Mathematica
Table[Binomial[68, n], {n, 0, 68}] (* Wesley Ivan Hurt, Mar 04 2014 *) -
PARI
vector(68, n, n--; binomial(68,n)) \\ G. C. Greubel, Nov 14 2018
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Sage
[binomial(68, n) for n in range(18)] # Zerinvary Lajos, May 28 2009
Formula
From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^68.
E.g.f.: 1F1(-68; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
Comments