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A022252 Gaussian binomial coefficients [ n,12 ] for q = 8. 1
1, 78536544841, 5482656778286418474121, 377502614721293061473789582165641, 25948117139655026088415620969665388037494409, 1783195450928011476668648470344552094424349050302879369, 122540725761559997805240746641257692029742922745214204200122046089 (list; graph; refs; listen; history; text; internal format)
OFFSET

12,2

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 = 12..100

FORMULA

a(n) = Product_{i=1..12} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 04 2016

MATHEMATICA

Table[QBinomial[n, 12, 8], {n, 12, 20}] (* Vincenzo Librandi, Aug 04 2016 *)

PROG

(Sage) [gaussian_binomial(n, 12, 8) for n in xrange(12, 19)] # Zerinvary Lajos, May 28 2009

(MAGMA) r:=12; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 04 2016

CROSSREFS

Sequence in context: A213334 A211417 A287246 * A034653 A289116 A249621

Adjacent sequences:  A022249 A022250 A022251 * A022253 A022254 A022255

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Offset changed by Vincenzo Librandi, Aug 04 2016

STATUS

approved

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Last modified March 23 10:55 EDT 2019. Contains 321424 sequences. (Running on oeis4.)