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A009325 E.g.f.: Expansion of log(1+log(1+x)^2) = 2*x^2/2! -6*x^3/3! +10*x^4/4! -... 2
0, 0, 2, -6, 10, 20, -232, 252, 12108, -137520, 510672, 6198720, -106090272, 110313216, 20049746208, -350494492320, 1386443717472, 58129858399488, -1210759844215296, -890205571360512, 529981110594263808, -11472138235428595200, 24598100800739059200 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = sum(k=1..n, (2*k)!*stirling1(n,2*k)/k*(-1)^k). - Vladimir Kruchinin, Sep 28 2012
a(n) ~ -2*cos(n*(1+Pi)/2) * (n-1)! / (2-2*cos(1))^(n/2). - Vaclav Kotesovec, Sep 05 2014
MATHEMATICA
With[{nn=30}, CoefficientList[Series[Log[1+Log[1+x]^2], {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Mar 06 2013 *)
CROSSREFS
Sequence in context: A014279 A050543 A025588 * A308346 A192390 A272967
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
Definition clarified by Harvey P. Dale, Mar 06 2013
STATUS
approved

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Last modified June 14 05:27 EDT 2024. Contains 373393 sequences. (Running on oeis4.)