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A136558 G.f.: A(x) = Sum_{n>=0} asinh( 2^(2n+1)*x )^(2n+1) / (2n+1)! ; a power series in x with integer coefficients. 3
2, 0, 84, 0, 276892, 0, 111457917800, 0, 6660816097416169260, 0, 66597307693046550483175282456, 0, 120167520447600665027319450022840022638104, 0 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

G.f.: A(x) = 2*x + 84*x^3 + 276892*x^5 + 111457917800*x^7 +...

PROG

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

CROSSREFS

Cf. A136559.

Sequence in context: A012334 A012451 A012447 * A156490 A136559 A009740

Adjacent sequences:  A136555 A136556 A136557 * A136559 A136560 A136561

KEYWORD

nonn

AUTHOR

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

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Last modified February 15 03:14 EST 2012. Contains 205694 sequences.