|
|
A291376
|
|
Expansion of the series reversion of x/(1 - 2*x/(1 - 3*x/(1 - 4*x/(1 - 5*x/(1 - ...))))), a continued fraction.
|
|
0
|
|
|
1, -2, -2, -14, -134, -1610, -22970, -376070, -6912590, -140545682, -3127227122, -75537934526, -1968218386646, -55032827628122, -1643983822922282, -52268580072454070, -1762720241380630430, -62864993479711480610, -2364417640569364405730, -93549390640311405418094
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Reversion of g.f. (with constant term omitted) for A000698.
|
|
LINKS
|
|
|
FORMULA
|
G.f. A(x) satisfies: A(x)/(1 - 2*A(x)/(1 - 3*A(x)/(1 - 4*A(x)/(1 - 5*A(x)/(1 - ...))))) = x.
|
|
MATHEMATICA
|
Rest[CoefficientList[InverseSeries[Series[x/(1 + ContinuedFractionK[-i x, 1, {i, 2, 20}]), {x, 0, 20}], x], x]]
Rest[CoefficientList[InverseSeries[Series[1 - 1/(1 + Sum[(2 i - 1)!! x^i, {i, 1, 20}]), {x, 0, 20}], x], x]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|