A002453 - OEIS

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A002453

Central factorial numbers.
(Formerly M5249 N2283)

1, 35, 966, 24970, 631631, 15857205, 397027996, 9931080740, 248325446061, 6208571999575, 155218222621826, 3880490869237710, 97012589464171291, 2425317596203339145, 60632965641474990456, 1515824372664398367880 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	REFERENCES	`A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 112.` `J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217.` `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).` `T. N. Thiele, Interpolationsrechnung. Teubner, Leipzig, 1909, p. 36.`
	LINKS	S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992. S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992. `Index entries for sequences related to factorial numbers`
	FORMULA	`G.f.: 1 / ( 1 - x ) ( 1 - 9 x ) ( 1 - 25 x ).` `a(n) = 1/384 * (62525^n - 2439^n + 2)`
	MAPLE	`A002453:=-1/(z-1)/(25z-1)/(9z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]`
	CROSSREFS	`Right-hand column 2 in triangle A008958.` `Sequence in context: A080250 A014934 A115473 * A049395 A115492 A187538` `Adjacent sequences: A002450 A002451 A002452 * A002454 A002455 A002456`
	KEYWORD	`nonn,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)`

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.