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 A015212 Sum of Gaussian binomial coefficients for q=21. 1
 1, 2, 24, 928, 224096, 180925632, 915592324864, 15519120649837568, 1649093881865807133696, 586980815917441872922703872, 1309843539264798142345101012967424, 9790772765676733007363874643686313525248 (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)*((21^(n-1)) - 1). - Vincenzo Librandi, Nov 02 2012 MATHEMATICA Total/@Table[QBinomial[n, m, 21], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *) CROSSREFS Row sums of triangle A022185. Sequence in context: A012081 A137274 A002032 * A012228 A062029 A122551 Adjacent sequences: A015209 A015210 A015211 * A015213 A015214 A015215 KEYWORD nonn AUTHOR N. J. A. Sloane, Olivier Gérard STATUS approved

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Last modified May 20 08:57 EDT 2024. Contains 372710 sequences. (Running on oeis4.)