A000906 - OEIS

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A000906

Exponential generating function: 2(1+3x)/(1-2x)^(7/2).
(Formerly M2124 N0841)

2, 20, 210, 2520, 34650, 540540, 9459450, 183783600, 3928374450, 91662070500, 2319050383650, 63246828645000, 1849969737866250, 57775977967207500, 1918987839625106250, 67548371954803740000, 2511955082069264081250 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`Ramanujan polynomials -psi_{n+2}(n+2,x) evaluated at 1.` `With offset 2, second Eulerian transform of 0,1,2,3,4... - Ross La Haye (rlahaye(AT)new.rr.com), Mar 05 2005`
	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).`
	FORMULA	`(2n+5)!!/3 - (2n+3)!!.`
	PROG	`(PARI) a(n)=(2n+6)!/(n+3)!/2^(n+3)/3-(2n+4)!/(n+2)!/2^(n+2)`
	CROSSREFS	`a(n) = 2A000457(n) = A051577(n+1) - A001147(n+2).` `Negative coefficient of x of polynomials in A098503.` `Sequence in context: A077327 A173499 A067636 A199761 A127110 A197898` `Adjacent sequences: A000903 A000904 A000905 * A000907 A000908 A000909`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 15 23:21 EST 2012. Contains 205860 sequences.