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A015214 Sum of Gaussian binomial coefficients for q=22. 1
1, 2, 25, 1016, 268207, 238539494, 1382716988605, 27048350125366292, 3449045122716021610219, 1484308738900247467387102658, 4163928976044712815287479196411545, 39423133831682965670575172359334015725424 (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.

Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.

M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..50

FORMULA

a(0) = 1, a(1) = 2, a(n) = 2*a(n-1) + a(n-2)*((22^(n-1)) - 1). - Vincenzo Librandi, Nov 02 2012

MATHEMATICA

Total/@Table[QBinomial[n, m, 22], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)

CROSSREFS

Sequence in context: A059363 A216661 A014050 * A204234 A203747 A210836

Adjacent sequences:  A015211 A015212 A015213 * A015215 A015216 A015217

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Olivier Gérard

STATUS

approved

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Last modified November 27 13:19 EST 2014. Contains 250196 sequences.