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 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

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Last modified May 25 17:36 EDT 2020. Contains 334595 sequences. (Running on oeis4.)