|
|
A353914
|
|
Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + arcsinh(x).
|
|
5
|
|
|
1, -2, -1, -20, -11, 46, -547, -29840, -27351, 232818, -3258663, -29911848, -390445563, 4450393260, -84140635815, -12153983817984, -18431412645519, 286688710444842, -6436900596281679, -169286474970429624, -2208721087854287811, 41892263643715799796, -1149793471388581053219
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
MATHEMATICA
|
nn = 23; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - ArcSinh[x], {x, 0, nn}], x]; Table[a[n], {n, 1, nn}] /. sol // Flatten
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|