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Search: id:A100088
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A100088 Expansion of (1-x^2)/((1-2x)(1+x^2)). +0
4
1, 2, 2, 4, 10, 20, 38, 76, 154, 308, 614, 1228, 2458, 4916, 9830, 19660, 39322, 78644, 157286, 314572, 629146, 1258292, 2516582, 5033164, 10066330, 20132660, 40265318, 80530636, 161061274, 322122548, 644245094, 1288490188, 2576980378 (list; graph; listen)
OFFSET

0,2

COMMENT

A Chebyshev transform of A100087, under the mapping A(x)->((1-x^2)/(1+x^2))A(x/(1+x^2)).

FORMULA

a(n)=(3*2^n+2cos(pi*n/2)+4sin(pi*n/2))/5; a(n)=n*sum{k=0..floor(n/2), binomial(n-k, k)(-1)^k*A100087(n-2k)/(n-k)}.

CROSSREFS

Sequence in context: A002082 A005304 A152732 this_sequence A025244 A132824 A078801

Adjacent sequences: A100085 A100086 A100087 this_sequence A100089 A100090 A100091

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Nov 03 2004

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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