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A022212 Gaussian binomial coefficients [ n,5 ] for q = 5. 1
1, 3906, 12714681, 40053706056, 125368356709806, 391901483074853556, 1224770494838892134806, 3827456772141158994166056, 11960833022875371081037525431, 37377622327704219905090668384806, 116805081731088587940522831693775431 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

REFERENCES

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 698.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 5..200

FORMULA

G.f.: x^5/((1-x)*(1-5*x)*(1-25*x)*(1-125*x)*(1-625*x)*(1-3125*x)). - Vincenzo Librandi, Aug 10 2016

a(n) = Product_{i=1..5} (5^(n-i+1)-1)/(5^i-1), by definition. - Vincenzo Librandi, Aug 10 2016

MATHEMATICA

QBinomial[Range[5, 15], 5, 5] (* Harvey P. Dale, Oct 05 2011 *)

Table[QBinomial[n, 5, 5], {n, 5, 20}] (* Vincenzo Librandi, Aug 10 2016 *)

PROG

(Sage) [gaussian_binomial(n, 5, 5) for n in xrange(5, 14)] # Zerinvary Lajos, May 27 2009

(MAGMA) r:=5; q:=5; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 10 2016

(PARI) r=5; q=5; for(n=r, 30, print1(prod(j=1, r, (1-q^(n-j+1))/(1-q^j)), ", ")) \\ G. C. Greubel, Jun 04 2018

CROSSREFS

Sequence in context: A115468 A066386 A068240 * A131409 A209732 A221239

Adjacent sequences:  A022209 A022210 A022211 * A022213 A022214 A022215

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Offset changed by Vincenzo Librandi, Aug 10 2016

STATUS

approved

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Last modified March 20 09:35 EDT 2019. Contains 321345 sequences. (Running on oeis4.)