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A087626 Expansion of 2/(1-2x+sqrt(1-4x+4x^3)). +0
1
1, 2, 5, 13, 36, 104, 311, 955, 2995, 9553, 30896, 101082, 333946, 1112496, 3732955, 12605029, 42800317, 146046819, 500555447, 1722402303, 5948047169, 20607691517, 71610355540, 249520257106, 871614139396, 3051737703526 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: 2/(1-2x+sqrt(1-4x+4x^3)). G.f. satisfies x^2(1-x)A(x)^2-(1-2x)A(x)+1=0.

PROGRAM

(PARI) a(n)=polcoeff(2/(1-2*x+sqrt(1-4*x+4*x^3+x*O(x^n))), n)

CROSSREFS

First backwards difference is A056010.

Sequence in context: A099164 A036765 A136751 this_sequence A125094 A114465 A135310

Adjacent sequences: A087623 A087624 A087625 this_sequence A087627 A087628 A087629

KEYWORD

nonn

AUTHOR

Michael Somos, Sep 16 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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