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Search: id:A135399
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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). +0
1
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; listen)
OFFSET

0,1

COMMENT

seq(a[3*n+2]/14,n=0..9) = 1, 15, 487, 12507, 342811, 9214935, 249130927, 6723913587, 181566638371, 4902131463855

seq(a[3*n+1]/98,n=0..9) =0, 1, 21, 613, 16185, 439921, 11854461, 320257693, 8645459745, 233439396841

seq(a[2*n+1]/6,n=0..14) =0, 3, 35, 343, 3195, 29183, 264355, 2386023, 21501515, 193622863, 1743042675, 15689131703, 141209175835, 1270910544543, 11438306748995

seq(a[6*n+1]/294,n=0..4) =0, 7, 5395, 3951487, 2881819915

FORMULA

G.f.: G(x)=(3-7*x^2)/(1-7*x^2-6*x^3) E.g.f: E(x)=exp(-x)+exp(-2*x)+exp(3*x)

EXAMPLE

a(3)=(-1)^3+(-2)^3+3^3=-1-8+27=18

CROSSREFS

Adjacent sequences: A135396 A135397 A135398 this_sequence A135400 A135401 A135402

Sequence in context: A058896 A008403 A138349 this_sequence A065121 A138540 A123023

KEYWORD

easy,nonn

AUTHOR

Miklos Kristof (kristmikl(AT)freemail.hu), Dec 11 2007

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.


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