A093007 First nonprime number reached when iterating n under x->2*x+1.

1, 95, 15, 4, 95, 6, 15, 8, 9, 10, 95, 12, 27, 14, 15, 16, 35, 18, 39, 20, 21, 22, 95, 24, 25, 26, 27, 28, 119, 30, 63, 32, 33, 34, 35, 36, 75, 38, 39, 40, 335, 42, 87, 44, 45, 46, 95, 48, 49, 50, 51, 52, 215, 54, 55, 56, 57, 58, 119, 60, 123, 62, 63, 64, 65, 66, 135

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

n>1: A070939(a(n)) = A070939(n) + A063377(n), A000120(a(n)) = A000120(n) + A063377(n).

Example

n = 41 = A000040(13) -> 2*41+1 = 83 = A000040(23) -> 2*83+1 = 167 = A000040(39) -> 2*167+1 = 335 = 67*5, therefore a(41) = 335, A063377(41) = 3.

Mathematica

Table[NestWhile[2#+1&, n, PrimeQ], {n, 70}] (* Harvey P. Dale, Sep 25 2012 *)

Crossrefs

Cf. A000040, A000120, A038699, A063377, A070939, A093009.

Sequence in context: A337954 A281325 A349405 * A033415 A300007 A067266

Adjacent sequences: A093004 A093005 A093006 * A093008 A093009 A093010

Keyword

nonn

Author

Reinhard Zumkeller, Mar 14 2004

Extensions

Definition corrected by Harvey P. Dale, Sep 25 2012

Status

approved