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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A004334 Binomial coefficient C(4n,n-4). 4
 1, 20, 276, 3276, 35960, 376992, 3838380, 38320568, 377348994, 3679075400, 35607051480, 342700125300, 3284214703056, 31368725759168, 298824321028320, 2840671544105280, 26958221130508525, 255485622301674660 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,2 REFERENCES M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828. LINKS Vincenzo Librandi, Table of n, a(n) for n = 4..1000 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. Daniel W. Stasiuk, An Enumeration Problem for Sequences of n-ary Trees Arising from Algebraic Operads, Master's Thesis, University of Saskatchewan-Saskatoon (2018). FORMULA From Ilya Gutkovskiy, Jan 31 2017: (Start) E.g.f.: (1/24)*x^4*3F3(17/4,9/2,19/4; 17/3,6,19/3; 256*x/27). a(n) ~ 2^(8*n+1/2)/(sqrt(Pi*n)*3^(3*n+9/2)). (End) MATHEMATICA Table[Binomial[4n, n-4], {n, 4, 30}] (* Vincenzo Librandi, Feb 01 2017 *) PROG (Magma) [Binomial(4*n, n-4): n in [4..30]]; // Vincenzo Librandi, Feb 01 2017 (PARI) a(n)=binomial(4*n, n-4) \\ Charles R Greathouse IV, Feb 01 2017 (Sage) [binomial(4*n, n-4) for n in (4..30)] # G. C. Greubel, Mar 21 2019 (GAP) List([4..30], n-> Binomial(4*n, n-4)) # G. C. Greubel, Mar 21 2019 CROSSREFS Cf. binomial(k*n, n-k): A000027 (k=1), A002694 (k=2), A004321 (k=3), this sequence (k=4), A004347 (k=5), A004361 (k=6), A004375 (k=7), A004389 (k=8), A281580 (k=9). Sequence in context: A278722 A021264 A025928 * A019483 A018056 A021234 Adjacent sequences: A004331 A004332 A004333 * A004335 A004336 A004337 KEYWORD nonn,easy AUTHOR 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 2 16:43 EST 2022. Contains 358510 sequences. (Running on oeis4.)