A073589 a(n)=a(n-1)^2*2^n-1 where a(0)=1.

1, 1, 3, 71, 80655, 208167328799, 2773352753875902386073663, 984510143671174604457027747023105816438433566408831, 248130617085807836435043583698283293120315590212520216226461514224419945596690035680296658588117705359615

Offset

0,3

Comments

The next term has 212 digits. - Harvey P. Dale, Dec 05 2018

Links

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

Mathematica

RecurrenceTable[{a[0]==1, a[n]==a[n-1]^2 2^n-1}, a, {n, 9}] (* Harvey P. Dale, Dec 05 2018 *)

Prog

(BASIC)
20 A=1
25 print A
30 for I=1 to 20
40 A=(A^2)*2^I-1
50 print A
60 next
70 end
(PARI) lista(nn) = {my(v = 1); print1(v, ", "); for (n=1, nn, v = v^2*2^n-1; print1(v, ", "); ); } \\ Michel Marcus, Sep 28 2013

Crossrefs

Sequence in context: A300540 A334124 A336441 * A089537 A321530 A062074

Adjacent sequences: A073586 A073587 A073588 * A073590 A073591 A073592

Keyword

easy,nonn

Author

Felice Russo, Aug 28 2002

Extensions

a(0)=1 prepended by Michel Marcus, Sep 28 2013

Status

approved