A003014 - OEIS

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A003014

Expansion of 1+x*exp(x)+x^2*exp(2*x)+x^3*exp(3*x).

1, 1, 4, 21, 124, 705, 3726, 18361, 85240, 376641, 1597690, 6551721, 26116740, 101647585, 387634534, 1452554265, 5360857456, 19523426433, 70272302706, 250318462537, 883418329660, 3091835703201, 10739780397214 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..1000`
	FORMULA	`a(n) = n + n(n-1)2^(n-2) + n(n-1)(n-2)*3^(n-3). - R. Stephan, Mar 24 2004`
	PROG	`(MAGMA) [1], [(n+1) + n(n+1)2^(n-1) + n(n+1)(n-1)*3^(n-2) : n in [0..30]]; // Vincenzo Librandi, Oct 08 2011`
	CROSSREFS	`Sequence in context: A101810 A001888 A103769 * A108404 A115136 A101478` `Adjacent sequences: A003011 A003012 A003013 * A003015 A003016 A003017`
	KEYWORD	`nonn,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 17 10:57 EST 2012. Contains 206009 sequences.