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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: A216661 A273545 A014050 * A204234 A203747 A278273

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 August 19 11:07 EDT 2017. Contains 290797 sequences.