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Search: id:A005810
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| A005810 |
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Binomial(4n,n).
(Formerly M3625)
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+0
5
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| 1, 4, 28, 220, 1820, 15504, 134596, 1184040, 10518300, 94143280, 847660528, 7669339132, 69668534468, 635013559600, 5804731963800, 53194089192720, 488526937079580, 4495151581425648, 41432089765583440, 382460951663844400
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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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.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
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FORMULA
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a(n) is asymptotic to c*sqrt(n)*(256/27)^n with c= 0.46... - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 26 2003
a(n) is asymptotic to c*(256/27)^n/sqrt(n) with c = sqrt(2 / (3 pi)) = 0.460658865961780639... - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 26 2003; corrected by Charles R Greathouse IV, Dec 14 2006
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CROSSREFS
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Adjacent sequences: A005807 A005808 A005809 this_sequence A005811 A005812 A005813
Sequence in context: A130185 A026020 A026033 this_sequence A121203 A089023 A035610
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from Henry Bottomley (se16(AT)btinternet.com), Oct 06 2000
Corrected by T. D. Noe, Jan 16 2007
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