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A017791
Binomial coefficients C(75,n).
3
1, 75, 2775, 67525, 1215450, 17259390, 201359550, 1984829850, 16871053725, 125595622175, 828931106355, 4898229264825, 26123889412400, 126600387152400, 560658857389200, 2280012686716080, 8550047575185300, 29673694525643100, 95615237915961100
OFFSET
0,2
COMMENTS
Row 75 of A007318.
LINKS
Nathaniel Johnston, Table of n, a(n) for n = 0..75 (full sequence)
FORMULA
From G. C. Greubel, Nov 15 2018: (Start)
G.f.: (1+x)^75.
E.g.f.: 1F1(-75; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
MAPLE
seq(binomial(75, n), n=0..75); # Nathaniel Johnston, Jun 24 2011
MATHEMATICA
Binomial[75, Range[0, 75]] (* G. C. Greubel, Nov 15 2018 *)
PROG
(Sage) [binomial(75, n) for n in range(17)] # Zerinvary Lajos, May 28 2009
(PARI) vector(75, n, n--; binomial(75, n)) \\ G. C. Greubel, Nov 15 2018
(Magma) [Binomial(75, n): n in [0..75]]; // G. C. Greubel, Nov 15 2018
(GAP) List([0..75], n -> Binomial(75, n)); # G. C. Greubel, Nov 15 2018
KEYWORD
nonn,fini,full,easy
STATUS
approved