A258161 a(n) = a(n-1)^3/a(n-2) with a(0)=1, a(1)=2.

1, 2, 8, 256, 2097152, 36028797018963968, 22300745198530623141535718272648361505980416

Offset

0,2

Comments

The next term has 114 digits.

Links

Table of n, a(n) for n=0..6.

Formula

a(n) = 2^(Fibonacci(2*n)).

Mathematica

Clear[a]; RecurrenceTable[{a[n]==a[n-1]^3/a[n-2], a[0]==1, a[1]==2}, a, {n, 0, 8}]
Clear[a]; a[0]=2; a[n_]:=a[n]=Product[a[j]^(n-j), {j, 0, n-1}]; Flatten[{1, Table[a[n], {n, 1, 8}]}]
Table[2^(Fibonacci[2*n]), {n, 0, 8}]

Crossrefs

Cf. A000045, A000301, A001906, A064098, A208207, A230900, A258169.

Sequence in context: A012341 A299374 A203317 * A012296 A009675 A012301

Adjacent sequences: A258158 A258159 A258160 * A258162 A258163 A258164

Keyword

nonn,easy

Author

Vaclav Kotesovec, May 22 2015

Status

approved