A362884 a(n) = (a(n-1)*a(n-2)*a(n-3)+64)/(4*a(n-4)) with a(0) = a(2) = a(3) = 2 and a(1) = 16.

2, 16, 2, 2, 16, 2, 16, 72, 37, 5336, 222112, 152263946, 1219335473828432, 1932041718420459629645062, 403742785702569426305018937234491996105486, 1561663327784579146423924791055619905538560428937482474084426146608982032

Offset: 0

Author

Max Alekseyev, May 07 2023

Keywords

• nonn

Comments

Conjecture 1: all terms are integer.

Conjecture 2: a(n) is never divisible by 64.

Crossrefs

Cf. A276175.

Formula

For n >= 2, a(n) = 4 * A276175(n) * A276175(n-2) / (A276175(n-1) * (A276175(n-1) + 1)).