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A165941 G.f.: A(x) = exp( Sum_{n>=1} 2^n*x^n/(1+x^n)/n ). 0
1, 2, 2, 6, 10, 18, 42, 78, 154, 314, 626, 1246, 2498, 4994, 9970, 19974, 39930, 79826, 159706, 319374, 638714, 1277530, 2554978, 5109854, 10219922, 20439714, 40879234, 81758854, 163517466, 327034514, 654069866, 1308139246, 2616277578 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Contrast to: exp( Sum_{n>=1} x^n/(1+x^n)/n ) = Sum_{n>=0} x^[n(n+1)/2].

PROG

(PARI) {a(n)=if(n==0, 1, polcoeff(exp(sum(m=1, n, 2^m*x^m/(1+x^m+x*O(x^n))/m)), n))}

CROSSREFS

Sequence in context: A127404 A184842 A181409 * A054227 A054228 A044044

Adjacent sequences:  A165938 A165939 A165940 * A165942 A165943 A165944

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 20 2009

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Last modified February 17 04:58 EST 2012. Contains 205985 sequences.