A230284 Denominators to Dirichlet inverse of Euler totient based version of series expansion for x/LambertW(x).

1, 1, 2, 3, 8, 15, 144, 35, 5760, 315, 5600, 693, 43545600, 1001, 6706022400, 6435, 14014, 109395, 376610217984000, 46189, 128047474114560000, 323323, 2540395, 2028117, 26976017466662584320000, 96577, 3241475864250624, 35102025, 2126818694000, 5386025

Offset

1,3

Links

G. C. Greubel, Table of n, a(n) for n = 1..385

Mathematica

Clear[nn, n, k, s, x]; nn = 22; Denominator[CoefficientList[1 + Integrate[1 + Expand[Sum[Exp[Limit[Zeta[s]*Sum[(If[n == 1, 0, Table[DivisorSum[m, # MoebiusMu[#] &], {m, nn}][[GCD[n, k]]]])/(k)^(s - 1), {k, 1, n}], s -> 1]]*(-x)^n, {n, 1, nn}]], x], x]]

Crossrefs

Cf. A191898, A177885, A230283 (numerators).

Similar to but strictly different from A264235.

Sequence in context: A005162 A350654 A129108 * A264235 A160622 A153699

Adjacent sequences: A230281 A230282 A230283 * A230285 A230286 A230287

Keyword

nonn,frac

Author

Mats Granvik, Oct 15 2013

Status

approved