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A012573
Expansion of e.g.f. sin(arcsinh(x) * log(x+1)).
1
0, 0, 2, -3, 4, -20, 38, 441, -4776, 34056, -368838, 5189085, -61808100, 666424980, -8929309170, 147346759665, -2283822093840, 33140217608400, -562702300383630, 11332944235915965, -219113911766658060
OFFSET
0,3
LINKS
EXAMPLE
2/2!*x^2 - 3/3!*x^3 + 4/4!*x^4 - 20/5!*x^5 ...
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Sin[ArcSinh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 13 2016 *)
CROSSREFS
Sequence in context: A352581 A309789 A012578 * A268349 A333690 A107241
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
Prepended missing a(0)=0 from Vaclav Kotesovec, Feb 03 2015
Inserted missing a(1)=0 and improved title from Sean A. Irvine, Jul 19 2018
STATUS
approved