A017777 Binomial coefficients C(61,n).
1, 61, 1830, 35990, 521855, 5949147, 55525372, 436270780, 2944827765, 17341763505, 90177170226, 418094152866, 1742058970275, 6566222272575, 22512762077400, 70539987842520, 202802465047245, 536830054536825, 1312251244423350, 2969831763694950
Offset: 0
Links
- Nathaniel Johnston, Table of n, a(n) for n = 0..61 (full sequence)
Programs
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Magma
[Binomial(61,n): n in [0..61]]; // G. C. Greubel, Nov 13 2018
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Maple
seq(binomial(61,n), n=0..61); # Nathaniel Johnston, Jun 24 2011
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Mathematica
Binomial[61, Range[0,61]] (* G. C. Greubel, Nov 13 2018 *)
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PARI
vector(61, n, n--; binomial(61,n)) \\ G. C. Greubel, Nov 13 2018
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Sage
[binomial(61, n) for n in range(18)] # Zerinvary Lajos, May 28 2009
Formula
From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^61.
E.g.f.: 1F1(-61; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
Comments