A135399 - OEIS

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A135399

a(n) = (-1)^n + (-2)^n + 3^n (-1, -2 and 3 are the roots of the equation x^3 = 7*x + 6).

3, 0, 14, 18, 98, 210, 794, 2058, 6818, 19170, 60074, 175098, 535538, 1586130, 4799354, 14316138, 43112258, 129009090, 387682634, 1161737178, 3487832978, 10458256050, 31385253914, 94134790218, 282446313698, 847255055010 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`seq(a[3n+2]/14,n=0..9) = 1, 15, 487, 12507, 342811, 9214935, 249130927, 6723913587, 181566638371, 4902131463855` `seq(a[3n+1]/98,n=0..9) =0, 1, 21, 613, 16185, 439921, 11854461, 320257693, 8645459745, 233439396841` `seq(a[2n+1]/6,n=0..14) =0, 3, 35, 343, 3195, 29183, 264355, 2386023, 21501515, 193622863, 1743042675, 15689131703, 141209175835, 1270910544543, 11438306748995` `seq(a[6n+1]/294,n=0..4) =0, 7, 5395, 3951487, 2881819915`
	FORMULA	`G.f.: G(x)=(3-7x^2)/(1-7x^2-6x^3) E.g.f: E(x)=exp(-x)+exp(-2x)+exp(3*x)`
	EXAMPLE	`a(3)=(-1)^3+(-2)^3+3^3=-1-8+27=18`
	CROSSREFS	`Sequence in context: A058896 A008403 A138349 * A065121 A167339 A138540` `Adjacent sequences: A135396 A135397 A135398 * A135400 A135401 A135402`
	KEYWORD	`easy,nonn`
	AUTHOR	`Miklos Kristof (kristmikl(AT)freemail.hu), Dec 11 2007`

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Last modified February 17 13:02 EST 2012. Contains 206021 sequences.