A114641 a(n) = 2^(a(n-2) + log_{2}(a(n-1))), a(1)=1, a(2)=2.

1, 2, 4, 16, 256, 16777216, 1942668892225729070919461906823518906642406839052139521251812409738904285205208498176

Offset: 1

Author

Yasutoshi Kohmoto, Feb 18 2006

Keywords

• nonn

Comments

The subsequent terms are too large to include.

Apparently a(n) = A000643(n+2) - A000643(n+1). - R. J. Mathar, Apr 22 2007

Crossrefs

Cf. A112237, A112866.

Programs

Mathematica

RecurrenceTable[{a[1]==1,a[2]==2,a[n]==2^(a[n-2]+Log[2,a[n-1]])},a,{n,6}] (* Harvey P. Dale, Aug 23 2013 *)

Formula

a(n) = a(n-1) * 2^a(n-2) for n >= 3. - Alois P. Heinz, Jun 28 2021

Extensions

Definition adapted to offset by Georg Fischer, Jun 18 2021