login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A022239 Gaussian binomial coefficients [ n,10 ] for q = 7. 1
1, 329554457, 95030372653688550, 26922218610904350161500150, 7608029097572151019476340332672053, 2149207789489010647406518443408592558383021 (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..130

FORMULA

G.f.: x^10/((1-x)*(1-7*x)*(1-49*x)*(1-343*x)*(1-2401*x)*(1-16807*x)*(1-117649*x)*(1-823543*x)*(1-5764801*x)*(1-40353607*x)*(1-282475249*x)). - Vincenzo Librandi, Aug 12 2016

a(n) = Product_{i=1..10} (7^(n-i+1)-1)/(7^i-1), by definition. - Vincenzo Librandi, Aug 12 2016

MATHEMATICA

Table[QBinomial[n, 10, 7], {n, 10, 20}] (* Vincenzo Librandi, Aug 12 2016 *)

PROG

(Sage) [gaussian_binomial(n, 10, 7) for n in xrange(10, 16)] # Zerinvary Lajos, May 27 2009

(MAGMA) r:=10; q:=7; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 12 2016

CROSSREFS

Sequence in context: A035794 A260083 A233708 * A222978 A271112 A233703

Adjacent sequences:  A022236 A022237 A022238 * A022240 A022241 A022242

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Offset changed by Vincenzo Librandi, Aug 12 2016

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 May 24 16:47 EDT 2019. Contains 323533 sequences. (Running on oeis4.)