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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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COMMENT
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Start off with 0 balls in a box. Find the number of ways you can throw 3 balls back. Then continue to throw 4 balls in the box after each stage. (i.e. the first stage is 0. Then the next stage there are 4 ways to throw 3 balls back). - Ruppi Rana (ruppirana007(AT)hotmail.com), Mar 03 2004
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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, 1972 [alternative scanned copy].
Ruppi Rana, Title?
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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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Sequence in context: A130185 A026020 A026033 this_sequence A121203 A152599 A089023
Adjacent sequences: A005807 A005808 A005809 this_sequence A005811 A005812 A005813
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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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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