|
|
A017770
|
|
Binomial coefficients C(54,n).
|
|
3
|
|
|
1, 54, 1431, 24804, 316251, 3162510, 25827165, 177100560, 1040465790, 5317936260, 23930713170, 95722852680, 343006888770, 1108176102180, 3245372870670, 8654327655120, 21094923659355, 47153358767970, 96926348578605, 183649923622620, 321387366339585
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Row 54 of A007318.
|
|
LINKS
|
Nathaniel Johnston, Table of n, a(n) for n = 0..54 (full sequence)
|
|
FORMULA
|
From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^54.
E.g.f.: 1F1(-54; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
|
|
MAPLE
|
seq(binomial(54, n), n=0..54); # Nathaniel Johnston, Jun 24 2011
|
|
MATHEMATICA
|
Binomial[54, Range[0, 54]] (* G. C. Greubel, Nov 13 2018 *)
|
|
PROG
|
(Sage) [binomial(54, n) for n in range(55)] # Zerinvary Lajos, May 23 2009
(PARI) vector(54, n, n--; binomial(54, n)) \\ G. C. Greubel, Nov 13 2018
(MAGMA) [Binomial(54, n): n in [0..54]]; // G. C. Greubel, Nov 13 2018
|
|
CROSSREFS
|
Cf. A010926-A011001, A017765-A017769, A017771-A017816.
Sequence in context: A160289 A341561 A079876 * A035722 A017717 A172501
Adjacent sequences: A017767 A017768 A017769 * A017771 A017772 A017773
|
|
KEYWORD
|
nonn,fini,full,easy
|
|
AUTHOR
|
N. J. A. Sloane
|
|
STATUS
|
approved
|
|
|
|