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Search: id:A138269
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A138269 a(n+1) is the Hankel transform of C(n)+C(n+2), where C(n)=A000108(n). +0
1
1, 3, 12, 53, 231, 1000, 4329, 18747, 81188, 351597, 1522639, 6594000, 28556241, 123666803, 535556412, 2319302053, 10044062391, 43497219000, 188370799289, 815766130347, 3532789487188, 15299239691997 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: (1-x)^2/(1-5x+4x^2-5x^3+x^4); a(n)=Re(P(2n,I)*CONJ(P(2n+1,I))) where I=sqrt(-1) and P(n,x)=sum{k=0..floor(n/2), C(n-k,k)x^k}.

CROSSREFS

Cf. A092886, A138268.

Sequence in context: A007198 A000256 A124202 this_sequence A026781 A110122 A060460

Adjacent sequences: A138266 A138267 A138268 this_sequence A138270 A138271 A138272

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 10 2008

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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