A072291 a(n)=a(n-1)+a(n-2)^n with a(1)=a(2)=1.

1, 1, 2, 3, 35, 764, 64339297639, 116077185312567988110695, 18892387313428899538307330663260392355466879654765476495891159778191517586427262736430696974019854

Offset

1,3

Comments

The next term -- a(10) -- has 231 digits. [From Harvey P. Dale, Aug 16 2011]

Links

Table of n, a(n) for n=1..9.

Example

a(5)=35 because a(5)=a(4)+a(3)^5=3+2^5=35

Mathematica

RecurrenceTable[{a[1]==a[2]==1, a[n]==a[n-1]+a[n-2]^n}, a[n], {n, 10}] (* Harvey P. Dale, Aug 16 2011 *)

Prog

(BASIC) 30 A=1:B=1 35 print A:print B 40 for I=3 to 20 50 C=B+A^I 60 print C 70 A=B:B=C 80 next 90 end

Crossrefs

Sequence in context: A165448 A111459 A042663 * A325500 A084191 A080357

Adjacent sequences: A072288 A072289 A072290 * A072292 A072293 A072294

Keyword

nonn

Author

Felice Russo, Jul 12 2002

Status

approved