A229170 Define a sequence of real numbers by b(1)=2, b(n+1) = b(n) + log_2(b(n)); a(n) = ceiling( b(n) ).

2, 3, 5, 7, 10, 13, 17, 21, 25, 30, 35, 40, 45, 51, 56, 62, 68, 74, 80, 87, 93, 100, 106, 113, 120, 127, 134, 141, 148, 155, 162, 170, 177, 185, 192, 200, 207, 215, 223, 231, 239, 246, 254, 262, 270, 278, 287, 295, 303, 311, 319, 328, 336, 345, 353, 361, 370, 378, 387, 396, 404, 413, 422, 430, 439, 448, 457, 465, 474

Offset

1,1

Links

Table of n, a(n) for n=1..69.

Index entries for Colombian or self numbers and related sequences

Example

Comment from N. J. A. Sloane, Jun 07 2023 (start)
b(1) to b(4) are:
[2, 3, 3+ln(3)/ln(2), 3+ln(3)/ln(2)+ln(3+ln(3)/ln(2))/ln(2)]
b(1) to b(6) computed exactly and THEN converted to floating point are:
2., 3., 4.58496250072115618145373894394, 6.78187243514238888864576363676, 9.54355608312733448665507868324, 12.7980830210090262451101642020.
(end)

Mathematica

Ceiling[NestList[N[#+Log2[#], 1000]&, 2, 70]] (* Caution: this program uses an arbitrary cut-off at 1000 digits precision. - N. J. A. Sloane, Jun 07 2023 *) (* Harvey P. Dale, Jun 10 2023 *)

Crossrefs

Cf. A229168, A229169, A155921, A229177.

Sequence in context: A175092 A265250 A090499 * A022335 A022780 A075353

Adjacent sequences: A229167 A229168 A229169 * A229171 A229172 A229173

Keyword

nonn

Author

N. J. A. Sloane, Sep 27 2013

Status

approved