A000457 - OEIS

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A000457

Exponential generating function: (1+3x)/(1-2x)^(7/2).
(Formerly M4736 N2028)

1, 10, 105, 1260, 17325, 270270, 4729725, 91891800, 1964187225, 45831035250, 1159525191825, 31623414322500, 924984868933125, 28887988983603750, 959493919812553125, 33774185977401870000, 1255977541034632040625 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	REFERENCES	`L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 256.` `F. N. David and D. E. Barton, Combinatorial Chance. Hafner, NY, 1962, p. 296.` `C. Jordan, On Stirling's Numbers, Tohoku Math. J., 37 (1933), 254-278.` `C. Jordan, Calculus of Finite Differences. Budapest, 1939, p. 152.` `N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).` `N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).`
	LINKS	`Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.`
	FORMULA	`(2n+3)!/ [3!n!2^n ].` `a(n)=(n+1)(2n+3)!!/3, n>=0, with (2*n+3)!! = A001147(n+2).`
	CROSSREFS	`Equals (1/2)A000906.` `Third column of triangle A001497.` `Second column (m=1) of unsigned Laguerre-Sonin a=1/2 triangle \|A130757\|.` `Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), May 24 2009: (Start)` `Cf. A160473.` `(End)` `Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 2009: (Start)` `Equals row sums of A163939.` `(End)` `Sequence in context: A123512 A079515 A024131 A113348 A193274 A068883` `Adjacent sequences: A000454 A000455 A000456 * A000458 A000459 A000460`
	KEYWORD	`nonn,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`
	EXTENSIONS	`More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Aug 15 2002`

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.