A083321 - OEIS

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A083321

(-1)^n+(-2)^n-(-3)^n.

1, 0, -4, 18, -64, 210, -664, 2058, -6304, 19170, -58024, 175098, -527344, 1586130, -4766584, 14316138, -42981184, 129009090, -387158344, 1161737178, -3485735824, 10458256050, -31376865304, 94134790218, -282412759264, 847255055010, -2541798719464, 7625463267258 (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) = (-1)^n+(-2)^n-(-3)^n` `G.f.: (1+6x+7x^2)/((1+x)(1+2x)(1+3x))` `E.g.f.: exp(-x)+exp(-2x)-exp(-3x)`
	MATHEMATICA	`a[n_]:=3^n-2^n-1^n; [From Vladimir Orlovsky, Dec 05 2008]`
	PROG	`(MAGMA) [(-1)^n+(-2)^n-(-3)^n: n in [0..30]]; // Vincenzo Librandi, Sep 05 2011`
	CROSSREFS	`Sequence in context: A057414 A165910 A100177 * A022728 A115112 A171074` `Adjacent sequences: A083318 A083319 A083320 * A083322 A083323 A083324`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 25 2003`

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.