login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A015207 Sum of Gaussian binomial coefficients for q=17. 1
1, 2, 20, 616, 99472, 51647264, 141339210560, 1246922025235072, 57999437806769246464, 8698341593509034791428608, 6878047564149771530513399567360, 17535817352622479067842954626850351104, 235723767989136531816996707739814303966793728 (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)*((17^(n-1)) - 1). - Vincenzo Librandi, Nov 02 2012

MATHEMATICA

Total/@Table[QBinomial[n, m, 17], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)

CROSSREFS

Row sums of triangle A022181.

Sequence in context: A292415 A197743 A009182 * A054941 A012495 A168480

Adjacent sequences:  A015204 A015205 A015206 * A015208 A015209 A015210

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Olivier Gérard

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 30 04:28 EST 2021. Contains 349418 sequences. (Running on oeis4.)