A017792 Binomial coefficients C(76,n).
1, 76, 2850, 70300, 1282975, 18474840, 218618940, 2186189400, 18855883575, 142466675900, 954526728530, 5727160371180, 31022118677225, 152724276564800, 687259244541600, 2840671544105280, 10830060261901380, 38223742100828400, 125288932441604200
Offset: 0
Links
- Nathaniel Johnston, Table of n, a(n) for n = 0..76 (full sequence)
Programs
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GAP
List([0..76], n -> Binomial(76,n)); # G. C. Greubel, Nov 15 2018
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Magma
[Binomial(76,n): n in [0..76]]; // G. C. Greubel, Nov 15 2018
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Maple
seq(binomial(76,n), n=0..76); # Nathaniel Johnston, Jun 24 2011
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Mathematica
Binomial[76, Range[0, 18]] (* Alonso del Arte, Dec 01 2017 *)
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PARI
Vec((x+1)^76) \\ Iain Fox, Dec 01 2017
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PARI
vector(76, n, n--; binomial(76,n)) \\ G. C. Greubel, Nov 15 2018
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Sage
[binomial(76, n) for n in range(17)] # Zerinvary Lajos, May 28 2009
Formula
G.f.: (x+1)^76.
E.g.f.: 1F1(-74; 1; -x), where 1F1 is the confluent hypergeometric function. - G. C. Greubel, Nov 15 2018
Comments