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Search: id:A103978
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A103978 Expansion of (sqrt(1-12x^2)+12x^2+2x-1)/(2x(1-12x^2)). +0
1
1, 3, 6, 9, 54, 54, 540, 405, 5670, 3402, 61236, 30618, 673596, 288684, 7505784, 2814669, 84440070, 28146690, 956987460, 287096238, 10909657044, 2975361012, 124965162504, 31241290626, 1437099368796, 331638315876, 16581915793800 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: 1/sqrt(1-12x^2)+(1-sqrt(1-12x^2))/(2x); a(n)=sum{k=0..floor(n/2), 3^(n-k)*C(k)C(k+1, n-k)}.

CROSSREFS

Cf. A025225, A059304, A103973.

Sequence in context: A045638 A038224 A133195 this_sequence A073910 A115251 A057241

Adjacent sequences: A103975 A103976 A103977 this_sequence A103979 A103980 A103981

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 23 2005

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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