The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A022218 Gaussian binomial coefficients [ n,11 ] for q = 5. 1
 1, 61035156, 3104408566792806, 152804888634672088643556, 7473133215765585192791624069181, 365015887882785053079719041834672291056, 17824182148160735190135826789101008407579416056, 870332534209370628368397575515105530919233947896291056 (list; graph; refs; listen; history; text; internal format)
 OFFSET 11,2 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 = 11..140 FORMULA G.f.: x^11/((1-x)*(1-5*x)*(1-25*x)*(1-125*x)*(1-625*x)*(1-3125*x)*(1-15625*x)*(1-78125*x)*(1-390625*x)*(1-1953125*x)*(1-9765625*x)*(1-48828125*x)). - Vincenzo Librandi, Aug 10 2016 a(n) = Product_{i=1..11} (5^(n-i+1)-1)/(5^i-1), by definition. - Vincenzo Librandi, Aug 10 2016 MATHEMATICA Table[QBinomial[n, 11, 5], {n, 11, 20}] (* Vincenzo Librandi, Aug 10 2016 *) PROG (Sage) [gaussian_binomial(n, 11, 5) for n in range(11, 19)] # Zerinvary Lajos, May 28 2009 (Magma) r:=11; 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=11; q=5; for(n=r, 30, print1(prod(j=1, r, (1-q^(n-j+1))/(1-q^j)), ", ")) \\ G. C. Greubel, Jun 07 2018 CROSSREFS Sequence in context: A172584 A210354 A309062 * A059001 A059003 A104931 Adjacent sequences: A022215 A022216 A022217 * A022219 A022220 A022221 KEYWORD nonn,easy AUTHOR N. J. A. Sloane EXTENSIONS Offset changed by Vincenzo Librandi, Aug 10 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 4 14:48 EST 2023. Contains 367563 sequences. (Running on oeis4.)