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A014510 Floor( GAMMA(n+1/2) ). +0
1
1, 0, 1, 3, 11, 52, 287, 1871, 14034, 119292, 1133278, 11899423, 136843365, 1710542068, 23092317922, 334838609873, 5189998453040, 85634974475162, 1498612053315336, 27724322986333718, 540624298233507504 (list; graph; listen)
OFFSET

0,4

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 255.

LINKS

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].

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 255.

FORMULA

a(n)=floor((2n-1)!!/2^n*sqrt(Pi)) where (2n-1)!!=prod(k=1, n, 2*k-1); asymptotically a(n)=n!/sqrt(n)*(1-1/(8n)+1/(128n^2)-5/(1024n^3)+O(1/n^4)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 29 2003

MAPLE

seq(floor(evalf(GAMMA(n+1/2), 100)), n=0..24);

CROSSREFS

Sequence in context: A056199 A007047 A129097 this_sequence A058799 A054362 A129833

Adjacent sequences: A014507 A014508 A014509 this_sequence A014511 A014512 A014513

KEYWORD

nonn

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

page 1

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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