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A136559 G.f.: A(x) = Sum_{n>=0} atanh( 2^(2n+1)*x )^(2n+1) / (2n+1)! ; a power series in x with integer coefficients. 2
2, 0, 88, 0, 285088, 0, 112173964160, 0, 6667221644498203136, 0, 66605167708510907980664608768, 0, 120169056821375322042225614651624227643392, 0 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

2^n divides a(n) for n>=0.

EXAMPLE

G.f.: A(x) = 2*x + 88*x^3 + 285088*x^5 + 112173964160*x^7 +...

PROG

(PARI) {a(n)=polcoeff(sum(k=0, n\2, atanh(2^(2*k+1)*x +x*O(x^n))^(2*k+1)/(2*k+1)!), n)}

CROSSREFS

Cf. A136558.

Sequence in context: A012447 A136558 A156490 * A009740 A132860 A156485

Adjacent sequences:  A136556 A136557 A136558 * A136560 A136561 A136562

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jan 10 2008

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Last modified February 16 01:56 EST 2012. Contains 205860 sequences.