|
|
A022191
|
|
Gaussian binomial coefficients [ n,8 ] for q = 2.
|
|
2
|
|
|
1, 511, 174251, 50955971, 13910980083, 3675639930963, 955841412523283, 246614610741341843, 63379954960524853651, 16256896431763117598611, 4165817792093527797314451, 1066968301301093995246996371, 273210326382611632738979052435
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
8,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = Product_{i=1..8} (2^(n-i+1)-1)/(2^i-1), by definition. - Vincenzo Librandi, Aug 03 2016
|
|
MATHEMATICA
|
|
|
PROG
|
(Sage) [gaussian_binomial(n, 8, 2) for n in range(8, 20)] # Zerinvary Lajos, May 25 2009
(Magma) r:=8; 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=8; 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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|