A292920 a(n) = [x^n] 1/(1 + x/(1 - 2^n*x/(1 + 3^n*x/(1 - 4^n*x/(1 + 5^n*x/(1 - ...)))))), a continued fraction.

1, -1, -3, 167, 262305, -19802585281, -111307539961183167, 66192452118355875767376767, 5609362049224731266886822845131449345, -87773600779729250264394909974880988558750376171521, -318955450227538853365057634352430260175496937997604285602324132863

Offset

0,3

Links

Table of n, a(n) for n=0..10.

Formula

a(n) = A291207(n,n).

Mathematica

Table[SeriesCoefficient[1/(1 + ContinuedFractionK[-(-1)^k k^n x, 1, {k, 1, n}]), {x, 0, n}], {n, 0, 10}]

Crossrefs

Main diagonal of A291207.

Cf. A291333.

Sequence in context: A180449 A142200 A137476 * A203482 A116506 A348704

Adjacent sequences: A292917 A292918 A292919 * A292921 A292922 A292923

Keyword

sign

Author

Ilya Gutkovskiy, Sep 26 2017

Status

approved