|
| |
|
|
A015203
|
|
Sum of Gaussian binomial coefficients for q=15.
|
|
1
|
|
|
|
1, 2, 18, 484, 61700, 24625416, 46902626632, 280592659752848, 8014314610618754064, 719144325473017534005280, 308098615000966585021543006496, 414695472396278556489315958364507712, 2664978629760569684020787743089224873508928
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
J. Goldman and G.-C. Rota, The number of subspaces of a vector space, pp. 75-83 of W. T. Tutte, editor, Recent Progress in Combinatorics. Academic Press, NY, 1969.
I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.
M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 0..50
Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.
|
|
|
FORMULA
|
a(0) = 1, a(1) = 2, a(n) = 2*a(n-1) + a(n-2)*((15^(n-1)) - 1). - Vincenzo Librandi, Nov 02 2012
|
|
|
MATHEMATICA
|
Total/@Table[QBinomial[n, m, 15], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)
|
|
|
CROSSREFS
|
Row sums of triangle A022179.
Sequence in context: A355131 A355134 A277037 * A208885 A255433 A121936
Adjacent sequences: A015200 A015201 A015202 * A015204 A015205 A015206
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
N. J. A. Sloane, Olivier Gérard
|
|
|
STATUS
|
approved
|
| |
|
|
