A074333 a(n+1) = a(n) + (a(n))^3 with a(0)=1.

1, 2, 10, 1010, 1030302010, 1093688489093570254240903010, 1308220420050293140207308568343275558610275754246390852904259630756188515781804010

Offset

0,2

Comments

a(6) contains 82 digits. - Harvey P. Dale, Feb 19 2011 [corrected by Altug Alkan, Dec 22 2015]

For n > 2, the last three digits are always "010". - Altug Alkan, Dec 22 2015

a(7) has 244 digits, a(8) has 731. - Robert Israel, Dec 23 2015

Links

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

Maple

a[0]:= 1:
for n from 1 to 8 do a[n]:= a[n-1] + a[n-1]^3 od:
seq(a[i], i=0..8); # Robert Israel, Dec 23 2015

Mathematica

NestList[#+#^3&, 1, 8]  (* Harvey P. Dale, Feb 19 2011 *)

Prog

(PARI) a(n) = if(n==0, 1, a(n-1)+(a(n-1))^3); \\ Altug Alkan, Dec 22 2015
(Magma) [n le 1 select 1 else Self(n-1)+Self(n-1)^3: n in [1..10]]; // Vincenzo Librandi, Dec 23 2015

Crossrefs

Sequence in context: A290495 A255587 A137890 * A008559 A245728 A171485

Adjacent sequences: A074330 A074331 A074332 * A074334 A074335 A074336

Keyword

nonn,easy

Author

Emrehan Halici (emrehan(AT)halici.com.tr), Sep 22 2002

Extensions

a(5) from Harvey P. Dale, Feb 19 2011

a(6) from Robert Israel, Dec 23 2015

Status

approved