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A010986
Binomial coefficient C(n,33).
6
1, 34, 595, 7140, 66045, 501942, 3262623, 18643560, 95548245, 445891810, 1917334783, 7669339132, 28760021745, 101766230790, 341643774795, 1093260079344, 3348108992991, 9847379391150, 27900908274925, 76360380541900, 202355008436035, 520341450264090
OFFSET
33,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (34, -561, 5984, -46376, 278256, -1344904, 5379616, -18156204, 52451256, -131128140, 286097760, -548354040, 927983760, -1391975640, 1855967520, -2203961430, 2333606220, -2203961430, 1855967520, -1391975640, 927983760, -548354040, 286097760, -131128140, 52451256, -18156204, 5379616, -1344904, 278256, -46376, 5984, -561, 34, -1).
FORMULA
G.f.: x^33/(1-x)^34. - Zerinvary Lajos, Dec 19 2008; adapted to offset by Enxhell Luzhnica, Jan 23 2017
From Amiram Eldar, Dec 12 2020: (Start)
Sum_{n>=33} 1/a(n) = 33/32.
Sum_{n>=33} (-1)^(n+1)/a(n) = A001787(33)*log(2) - A242091(33)/32! = 141733920768*log(2) - 429895798848743086730197/4375865239200 = 0.9721422619... (End)
MAPLE
seq(binomial(n, 33), n=33..55); # Zerinvary Lajos, Dec 19 2008
MATHEMATICA
Table[Binomial[n, 33], {n, 33, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)
PROG
(Magma) [Binomial(n, 33): n in [33..70]]; // Vincenzo Librandi, Jun 12 2013
(PARI) for(n=33, 60, print1(binomial(n, 33), ", ")) \\ G. C. Greubel, Nov 23 2017
CROSSREFS
KEYWORD
nonn,easy
STATUS
approved