A198959 a(1) = 2, a(n+1) = a(n)^2 - n.

2, 3, 7, 46, 2112, 4460539, 19896408170515, 395867058087736049315365218, 156710727679038987453730700439845485538142584724187516

Offset

1,1

Comments

The next term -- a(10) -- has 107 digits. - Harvey P. Dale, Jun 22 2022

Links

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

MathOverflow, Asymptotic behavior of the sequence u(n) = u(n-1)^2 - n

Mathematica

RecurrenceTable[{a[1]==2, a[n+1]==a[n]^2-n}, a, {n, 10}] (* Harvey P. Dale, Jun 22 2022 *)

Prog

(PARI) vector(10, k, t=if(k==1, 2, t^2-(k-1)))

Crossrefs

Cf. A086051.

Sequence in context: A086542 A349893 A058181 * A000231 A090593 A030090

Adjacent sequences: A198956 A198957 A198958 * A198960 A198961 A198962

Keyword

nonn,easy

Author

Franklin T. Adams-Watters, Nov 01 2011

Status

approved