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Search: id:A051577
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| 1, 5, 35, 315, 3465, 45045, 675675, 11486475, 218243025, 4583103525, 105411381075, 2635284526875, 71152682225625, 2063427784543125, 63966261320836875, 2110886623587616875, 73881031825566590625
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OFFSET
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0,2
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COMMENT
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Row m=3 of the array A(3; m,n) := (2*n+m)!!/m!!, m >= 0, n >= 0.
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FORMULA
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a(n) = (2*n+3)!!/3!!; e.g.f.: 1/(1-2*x)^(5/2).
a(n) ~ 4/3*sqrt(2)*n^2*2^n*e^-n*n^n*{1 + 47/24*n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 23 2001
Ramanujan polynomials -psi_n(n, x) evaluated at 0. - Ralf Stephan, Apr 16 2004
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CROSSREFS
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Cf. A000165, A001147(n+1), A002866(n+1) (m=0..2 rows).
Sequence in context: A052797 A015683 A000357 this_sequence A102147 A124564 A113342
Adjacent sequences: A051574 A051575 A051576 this_sequence A051578 A051579 A051580
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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