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A022193 Gaussian binomial coefficients [ n,10 ] for q = 2. 2
1, 2047, 2794155, 3269560515, 3571013994483, 3774561792168531, 3926442969043883795, 4052305562169692070035, 4165817792093527797314451, 4274137206973266943778085267, 4380990637147598617372537398675 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

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 = 10..200

FORMULA

a(n) = Product_{i=1..10} (2^(n-i+1)-1)/(2^i-1), by definition. - Vincenzo Librandi, Aug 03 2016

MATHEMATICA

Table[QBinomial[n, 10, 2], {n, 10, 40}] (* Vincenzo Librandi, Aug 03 2016 *)

PROG

(Sage) [gaussian_binomial(n, 10, 2) for n in xrange(10, 21)] # Zerinvary Lajos, May 25 2009

(MAGMA) r:=10; q:=2; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 03 2016

(PARI) r=10; q=2; for(n=r, 30, print1(prod(j=1, r, (1-q^(n-j+1))/(1-q^j)), ", ")) \\ G. C. Greubel, May 30 2018

CROSSREFS

Sequence in context: A321550 A014233 A160964 * A069386 A069412 A069438

Adjacent sequences:  A022190 A022191 A022192 * A022194 A022195 A022196

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 23 14:17 EDT 2019. Contains 321431 sequences. (Running on oeis4.)