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A017769 Binomial coefficients C(53,n). 2
1, 53, 1378, 23426, 292825, 2869685, 22957480, 154143080, 886322710, 4431613550, 19499099620, 76223753060, 266783135710, 841392966470, 2403979904200, 6250347750920, 14844575908435, 32308782859535, 64617565719070, 119032357903550, 202355008436035 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Row 53 of A007318.
LINKS
Nathaniel Johnston, Table of n, a(n) for n = 0..53 (full sequence)
FORMULA
From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^53.
E.g.f.: 1F1(-53; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
MAPLE
seq(binomial(53, n), n=0..53); # Nathaniel Johnston, Jun 24 2011
MATHEMATICA
With[{k = 53}, Array[Binomial[k, #] &, k + 1, 0]] (* Michael De Vlieger, Jul 06 2018 *)
With[{nmax = 53}, CoefficientList[Series[Hypergeometric1F1[-53, 1, -x], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Nov 13 2018 *)
PROG
(Sage) [binomial(53, n) for n in range(54)] # Zerinvary Lajos, May 23 2009
(PARI) vector(53, n, n--; binomial(53, n)) \\ G. C. Greubel, Nov 13 2018
(Magma) [Binomial(53, n): n in [0..53]]; // G. C. Greubel, Nov 13 2018
CROSSREFS
Sequence in context: A093982 A091548 A342899 * A017716 A180365 A282931
KEYWORD
nonn,fini,full,easy
AUTHOR
STATUS
approved

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)