A017765 Binomial coefficients C(49,n).
1, 49, 1176, 18424, 211876, 1906884, 13983816, 85900584, 450978066, 2054455634, 8217822536, 29135916264, 92263734836, 262596783764, 675248872536, 1575580702584, 3348108992991, 6499270398159, 11554258485616, 18851684897584, 28277527346376
Offset: 0
Links
- Nathaniel Johnston, Table of n, a(n) for n = 0..49 (full sequence)
Programs
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Magma
[Binomial(49,n): n in [0..49]]; // G. C. Greubel, Nov 13 2018
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Maple
seq(binomial(49,n), n=0..49); # Nathaniel Johnston, Jun 24 2011
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Mathematica
Binomial[49,Range[0,50]] (* Harvey P. Dale, Feb 17 2015 *)
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PARI
vector(49, n, n--; binomial(49,n)) \\ G. C. Greubel, Nov 13 2018
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Sage
[binomial(49, n) for n in range(50)] # Zerinvary Lajos, May 21 2009
Formula
From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^49.
E.g.f.: 1F1(-49; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
Comments