A110386 a(1) = 1, a(2) = a(1) + 1, a(3) = a(2)^2 + a(2) + 1; a(n + 1) = a(n)^n + a(n)^(n-1) + ... + a(n)^2 + a(n) + 1 = {a(n)^(n + 1)-1}/{a(n) - 1}.

1, 2, 7, 400, 25664160401, 11133592066966265230223312802560009320400030085606006

Offset

1,2

Comments

The next term is too large to include.

Links

Table of n, a(n) for n=1..6.

Example

a(3) = 2^2 + 2 + 1 = 7.

Maple

a[1]:=1: for n from 1 to 7 do a[n+1]:=sum(a[n]^j, j=0..n) od: seq(a[n], n=1..7); # Emeric Deutsch, Jul 31 2005

Crossrefs

Sequence in context: A081505 A176748 A262088 * A260229 A321134 A027732

Adjacent sequences: A110383 A110384 A110385 * A110387 A110388 A110389

Keyword

easy,nonn

Author

Amarnath Murthy, Jul 26 2005

Extensions

More terms from Emeric Deutsch, Jul 31 2005

Status

approved