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Search: id:A103973
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A103973 Expansion of (sqrt(1-8x^2)+8x^2+2x-1)/(2x(1-8x^2)). +0
2
1, 2, 4, 4, 24, 16, 160, 80, 1120, 448, 8064, 2688, 59136, 16896, 439296, 109824, 3294720, 732160, 24893440, 4978688, 189190144, 34398208, 1444724736, 240787456, 11076222976, 1704034304, 85201715200, 12171673600, 657270374400 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: 1/sqrt(1-8x^2)+(1-sqrt(1-8x^2))/(2x); a(n)=sum{k=0..floor(n/2), 2^(n-k)*C(k)C(k+1, n-k)}.

CROSSREFS

Cf. A025225, A059304.

Sequence in context: A013140 A155720 A155725 this_sequence A129826 A009296 A068554

Adjacent sequences: A103970 A103971 A103972 this_sequence A103974 A103975 A103976

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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