A374986 a(n) = (1/5)*Product_{k=0..n} F(k)+5, where F=A000045 (Fibonacci numbers).

1, 6, 36, 252, 2016, 20160, 262080, 4717440, 122653440, 4783484160, 287009049600, 26978850662400, 4019848748697600, 956724002190028800, 365468568836591001600, 224763169834503465984000, 222965064475827438256128000, 357190033290275556086317056000

Offset

0,2

Comments

Trivially, a(n+1)/a(n) is an integer for n>=0, so (a(n)) is a divisibility sequence.

Links

Table of n, a(n) for n=0..17.

Mathematica

q[n_] := Fibonacci[n]
p[n_] := Product[q[k] + 5, {k, 0, n}]
Table[(1/5)*Simplify[p[n]], {n, 0, 20}]

Crossrefs

Cf. A000045.

Sequence in context: A366496 A366500 A221461 * A090015 A299330 A335811

Adjacent sequences: A374981 A374982 A374984 * A374988 A374989 A374990

Keyword

nonn,new

Author

Clark Kimberling, Aug 04 2024

Status

approved