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A153061 a(-1)=2, a(n)=a(n-1)^2+n. 3
4, 17, 291, 84684, 7171379860, 51428689096413619605, 2644910062175573125355281735337640356031, 6995549236997594095768769895625713364190838574177475661857423797590740438072968 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..7.

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

FORMULA

a(n) ~ c^(2^n), where c = 4.1302388785110411646102486678455962713882427692215219090697122047307672779... . - Vaclav Kotesovec, Dec 18 2014

MATHEMATICA

a=2; lst={}; Do[a=a^2+n; AppendTo[lst, a], {n, 0, 10}]; lst

RecurrenceTable[{a[0]==4, a[n]==a[n-1]^2+n}, a, {n, 10}] (* Harvey P. Dale, Oct 17 2013 *)

CROSSREFS

Cf. A056520, A153056, A153057, A153058, A153059, A086851, A153060, A098152, A028300.

Sequence in context: A126776 A214143 A015489 * A277762 A041701 A154131

Adjacent sequences:  A153058 A153059 A153060 * A153062 A153063 A153064

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Dec 17 2008

STATUS

approved

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Last modified December 9 16:10 EST 2016. Contains 278985 sequences.