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Search: id:A077834
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A077834 Expansion of 1/(1-2*x-2*x^2-3*x^3). +0
2
1, 2, 6, 19, 56, 168, 505, 1514, 4542, 13627, 40880, 122640, 367921, 1103762, 3311286, 9933859, 29801576, 89404728, 268214185, 804642554, 2413927662, 7241782987, 21725348960, 65176046880, 195528140641, 586584421922, 1759753265766, 5279259797299, 15837779391896 (list; graph; listen)
OFFSET

0,2

FORMULA

Convolution of A000244 and A049347. G.f. : 1/((1-3x)(1+x+x^2)); a(n)=sum{k=0..n, 3^k*2sqrt(3)cos(2*pi*(n-k)/3+pi/6)/3}; a(n)=3^(n+2)/13+2sqrt(3)cos(2*pi*n/3+pi/6)/39+2sqrt(3)sin(2*pi*n/3+pi/3)/13. - Paul Barry (pbarry(AT)wit.ie), May 19 2004

CROSSREFS

Sequence in context: A014559 A027098 A121483 this_sequence A067675 A037512 A111277

Adjacent sequences: A077831 A077832 A077833 this_sequence A077835 A077836 A077837

KEYWORD

nonn

AUTHOR

njas, Nov 17 2002

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.


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