A105606 Sylvester dividends for Pell numbers.

1, 1, 1, 2, 1, 10, 1, 12, 5, 58, 1, 420, 1, 338, 145, 408, 1, 13790, 1, 14268, 845, 11482, 1, 471240, 29, 66922, 985, 484692, 1, 111944350, 1, 470832, 28705, 2273378, 4901, 543353580, 1, 13250218, 167305, 543810552, 1, 129202326890, 1, 559334148, 38419925, 450117362

Offset

1,4

Comments

Divide each Pell number by its primitive part.

Links

Table of n, a(n) for n=1..46.

Formula

a(n) = Pell(n)/A008555(n).

Mathematica

f[n_] := f[n] = Fibonacci[n, 2] / Product[f[d], {d, Most[Divisors[n]]}]; f[1] = 1; a[n_] := Fibonacci[n, 2]/f[n]; Array[a, 60] (* Amiram Eldar, Jun 20 2024 *)

Crossrefs

Cf. A000129, A008555.

Sequence in context: A139004 A074951 A055633 * A132995 A114692 A112691

Adjacent sequences: A105603 A105604 A105605 * A105607 A105608 A105609

Keyword

easy,nonn

Author

Paul Barry, Apr 15 2005

Extensions

More terms from Amiram Eldar, Jun 20 2024

Status

approved