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Search: id:A165433
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A165433 A transform of the double factorial numbers A001147. +0
1
1, 1, 2, 3, 7, 14, 39, 97, 308, 897, 3139, 10304, 38997, 140893, 570002, 2230599, 9567979, 40091222, 181203603, 805962157, 3819522284, 17912075229, 88646095447, 435959031488, 2245454002137, 11530035000169, 61627679281154 (list; graph; listen)
OFFSET

0,3

COMMENT

Hankel transform is A000178.

FORMULA

G.f.: 1/(1-x-x^2-2x^4/(1-x-5x^2-12x^4/(1-x-9x^2-30x^4/(1-x-13x^2-56x^4/(1-.... (continued fraction);

a(n)=sum{k=0..floor(n/2), C(n-k,k)*(2k)!/(k!*2^k)}.

CROSSREFS

Sequence in context: A089790 A006785 A113182 this_sequence A006627 A077161 A068080

Adjacent sequences: A165430 A165431 A165432 this_sequence A165434 A165435 A165436

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 18 2009

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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