A017771 Binomial coefficients C(55,n).
1, 55, 1485, 26235, 341055, 3478761, 28989675, 202927725, 1217566350, 6358402050, 29248649430, 119653565850, 438729741450, 1451182990950, 4353548972850, 11899700525790, 29749251314475, 68248282427325, 144079707346575, 280576272201225, 505037289962205
Offset: 0
Links
- Nathaniel Johnston, Table of n, a(n) for n = 0..55 (full sequence)
Programs
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Magma
[Binomial(55,n): n in [0..55]]; // G. C. Greubel, Nov 13 2018
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Maple
seq(binomial(55,n), n=0..55); # Nathaniel Johnston, Jun 24 2011
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Mathematica
Binomial[55,Range[0,55]] (* Harvey P. Dale, Feb 26 2013 *)
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PARI
vector(55, n, n--; binomial(55,n)) \\ G. C. Greubel, Nov 13 2018
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Sage
[binomial(55, n) for n in range(56)] # Zerinvary Lajos, May 28 2009
Formula
From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^55.
E.g.f.: 1F1(-55; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
Comments