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 A296979 Expansion of e.g.f. arcsin(log(1 + x)). 3
 0, 1, -1, 3, -12, 68, -480, 4144, -42112, 494360, -6581880, 98079696, -1617373296, 29245459176, -575367843960, 12235339942344, -279650131845120, 6836254328079936, -177979145883651648, 4916243253642325056, -143602294106947553280, 4422411460743707222784 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA a(n) ~ -(-1)^n * n^(n-1) / (exp(1) - 1)^(n - 1/2). - Vaclav Kotesovec, Mar 26 2019 EXAMPLE arcsin(log(1 + x)) = x^1/1! - x^2/2! + 3*x^3/3! - 12*x^4/4! + 68*x^5/5! - 480*x^6/6! + ... MAPLE a:=series(arcsin(log(1+x)), x=0, 22): seq(n!*coeff(a, x, n), n=0..21); # Paolo P. Lava, Mar 26 2019 MATHEMATICA nmax = 21; CoefficientList[Series[ArcSin[Log[1 + x]], {x, 0, nmax}], x] Range[0, nmax]! nmax = 21; CoefficientList[Series[-I Log[I Log[1 + x] + Sqrt[1 - Log[1 + x]^2]], {x, 0, nmax}], x] Range[0, nmax]! CROSSREFS Cf. A001710, A001818, A003703, A003708, A009024, A009454, A009775, A104150, A189815, A296980, A296981, A296982. Sequence in context: A187118 A121812 A039750 * A004127 A058115 A101313 Adjacent sequences:  A296976 A296977 A296978 * A296980 A296981 A296982 KEYWORD sign AUTHOR Ilya Gutkovskiy, Dec 22 2017 STATUS approved

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Last modified August 13 12:57 EDT 2022. Contains 356091 sequences. (Running on oeis4.)