A374662 - OEIS

A374662

a(n) = (1/2)*Product_{k=0..n} (F(k)+2), where F=A000045 (Fibonacci numbers).

1, 3, 9, 36, 180, 1260, 12600, 189000, 4347000, 156492000, 8920044000, 811724004000, 118511704584000, 27850250577240000, 10555244968773960000, 6459809920889663520000, 6388752011759877221280000, 10215614466804043676826720000, 26417579011155256948273897920000

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OFFSET

0,2

COMMENTS

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..18.

MATHEMATICA

q[n_] := Fibonacci[n]

p[n_] := Product[q[k] + 2, {k, 0, n}]

Table[Simplify[p[n]/2], {n, 0, 20}]

PROG