A297206 Expansion of e.g.f. log(1 + x*cosh(x))*exp(x).

0, 1, 1, 5, 0, 44, -245, 1917, -17976, 191760, -2268017, 29862645, -432485152, 6819543964, -116400819509, 2138673633397, -42078450265744, 882702459984256, -19667723002057473, 463866294631620941, -11545312970532620104, 302416006623761207804, -8316019118849688156693

Offset

0,4

Links

Table of n, a(n) for n=0..22.

Example

log(1 + x*cosh(x))*exp(x) = x/1! + x^2/2! + 5*x^3/3! + 44*x^5/5! - 245*x^6/6! + ...

Maple

a:=series(log(1 + x*cosh(x))*exp(x), x=0, 23): seq(n!*coeff(a, x, n), n=0..22); # Paolo P. Lava, Mar 26 2019

Mathematica

nmax = 22; CoefficientList[Series[Log[1 + x Cosh[x]] Exp[x], {x, 0, nmax}], x] Range[0, nmax]!

Prog

(PARI) x='x+O('x^99); concat([0], Vec(serlaplace(exp(x)*log(1+x*cosh(x))))) \\ Altug Alkan, Dec 28 2017

Crossrefs

Cf. A009305, A009353, A009390, A294314, A295278, A296336, A296437, A296439.

Sequence in context: A208928 A348209 A368768 * A103709 A122045 A294314

Adjacent sequences: A297203 A297204 A297205 * A297207 A297208 A297209

Keyword

sign

Author

Ilya Gutkovskiy, Dec 27 2017

Status

approved