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A099729 a(n) = a(n-1)^2 + a(floor(n/2))^2; a(0) = 1. 0
1, 2, 8, 68, 4688, 21977408, 483006462403088, 233295242723145661671791940368, 54426670277251448804881298598338033107084297639402489952768 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..8.

Index entries for sequences of form a(n+1)=a(n)^2 + ...

FORMULA

a(n) ~ c^(2^n), where c = 1.6960426326108078452611100055735661068469295099996784988263600567400352165... . - Vaclav Kotesovec, Dec 18 2014

MATHEMATICA

a = ConstantArray[0, 10]; a[[1]]=2; Do[a[[n]] = a[[n-1]]^2 + a[[Floor[n/2]]]^2, {n, 2, 10}]; Flatten[{1, a}] (* Vaclav Kotesovec, Dec 18 2014 *)

CROSSREFS

Cf. A000123.

Sequence in context: A055547 A113087 A239843 * A123117 A062733 A180687

Adjacent sequences:  A099726 A099727 A099728 * A099730 A099731 A099732

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Nov 08 2004

STATUS

approved

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Last modified February 19 20:48 EST 2018. Contains 299357 sequences. (Running on oeis4.)