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A028300 a(1) = 1; thereafter a(n+1) = a(n)^2 + n. 6
1, 2, 6, 39, 1525, 2325630, 5408554896906, 29252466072845872288372843, 855706771342998810018458679815602502067088579902657 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Indranil Ghosh, Table of n, a(n) for n = 1..13

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

FORMULA

a(n) ~ c^(2^n), where c = 1.2574108318043003098123273077302829405940294604970047023808427877694426442... . - Vaclav Kotesovec, Dec 18 2014

EXAMPLE

a(3) = a(2)^2+2 = 4+2 = 6.

MATHEMATICA

a=1; lst={}; Do[a=a^2+n; AppendTo[lst, a], {n, 0, 12}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 17 2008 *)

RecurrenceTable[{a[1] == 1, a[n+1] == a[n]^2 + n}, a, {n, 1, 10}] (* Vaclav Kotesovec, Dec 18 2014 *)

CROSSREFS

Cf. A153058, A153059, A086851, A153060, A098152.

Sequence in context: A211348 A295912 A120492 * A068207 A288491 A212883

Adjacent sequences:  A028297 A028298 A028299 * A028301 A028302 A028303

KEYWORD

nonn,easy

AUTHOR

fink(AT)cadvision.com (A.R.FINK)

STATUS

approved

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Last modified October 22 06:02 EDT 2018. Contains 316432 sequences. (Running on oeis4.)