A376059 a(n) is the denominator of the sum S(n) defined in A376058.

1, 2, 6, 78, 18330, 1679962830, 22578200883132834030, 6627077016548303724729207245056971365730, 922281145448518091883798423085535218757314338662318933097843039655721026758456630

Offset

0,2

Links

Table of n, a(n) for n=0..8.

Formula

a(n+1) = Fibonacci(n+1)*a(n)^2 + a(n), with a(0) = 1.

Example

The first few values of S(n) are 0, 1/2, 5/6, 77/78, 18329/18330, 1679962829/1679962830, 22578200883132834029/22578200883132834030, ...

Mathematica

RecurrenceTable[{a[n+1] == Fibonacci[n+1]*a[n]^2 + a[n], a[0] == 1}, a, {n, 0, 8}] (* Amiram Eldar, Sep 15 2024 *)

Crossrefs

Cf. A000045, A374663, A375516, A375531, A375532, A375781, A375522, A376048-A376058.

Sequence in context: A231508 A136306 A274825 * A376061 A076146 A114552

Adjacent sequences: A376056 A376057 A376058 * A376060 A376061 A376062

Keyword

nonn,base,frac

Author

N. J. A. Sloane, Sep 14 2024.

Status

approved