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A158441 G.f.: A(x) = exp( Sum_{n>=1} sigma(n)*x^n/(1+x^n) /n ). +0
1
1, 1, 1, 3, 2, 4, 7, 7, 9, 14, 18, 20, 31, 34, 42, 61, 69, 83, 109, 127, 156, 203, 228, 276, 347, 404, 477, 591, 683, 801, 990, 1132, 1323, 1598, 1837, 2148, 2560, 2929, 3405, 4018, 4608, 5319, 6244, 7124, 8184, 9569, 10877, 12465, 14457, 16412, 18761, 21633 (list; graph; listen)
OFFSET

0,4

FORMULA

Euler transform of A048272. [From Vladeta Jovovic (vladeta(AT)eunet.yu), Mar 28 2009]

PROGRAM

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

CROSSREFS

Cf. A006171, A000203.

Sequence in context: A163329 A105025 A129594 this_sequence A102787 A014193 A128885

Adjacent sequences: A158438 A158439 A158440 this_sequence A158442 A158443 A158444

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Mar 28 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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