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A300950 Fixed points of A300948. 1
3, 4, 7, 8, 11, 12, 15, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 72, 75, 76, 79, 112, 115, 116, 119, 120, 123, 124, 127, 128, 131, 132, 135, 136, 139, 140, 143, 176, 179, 180, 183, 184, 187, 188, 191, 192, 195, 196, 199, 200, 203, 204, 207, 240, 243 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence contains A007013(k) for any k > 0.

We can devise a set of primitive fixed points of A300948, say P, as follows:

- P contains the powers of 2, say 2^i, such that A300948(2^i) = 2^i (in that case, i = a(k)-1 for some k > 0),

- and the sums of two distinct powers of 2, say 2^i + 2^j, such that A300948(2^i) = 2^j,

- we can uniquely write any term of this sequence as a sum of distinct terms of P.

LINKS

Table of n, a(n) for n=1..57.

FORMULA

For any n > 0 with binary expansion Sum_{i=0..k} b_i * 2^i, a(n) = Sum_{i=0..k} b_i * p(i+1) (where p(i) denotes the i-th term of the set P described in the Comments section).

EXAMPLE

A300948(7) = 7 hence 7 belongs to this sequence.

A300948(42) = 25 hence 42 does not belong to this sequence.

CROSSREFS

Cf. A007013, A300948.

Sequence in context: A188259 A058235 A107819 * A067186 A133675 A173467

Adjacent sequences:  A300947 A300948 A300949 * A300951 A300952 A300953

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Mar 16 2018

STATUS

approved

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Last modified October 18 23:39 EDT 2019. Contains 328211 sequences. (Running on oeis4.)