A169864 The sequence S of a pair S, T generalizing Golomb's sequence A001462 and the pair A093848, A169863. See Comments for definition.

1, 3, 4, 6, 8, 10, 12, 13, 15, 17, 19, 21, 23, 25, 26, 28, 30, 32, 34, 36, 38, 40, 42, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 91, 93

Offset

1,2

Comments

S is built with the rules [1] that you cannot insert any integer between two "touching" runs (run 1,3 is followed by 4,6,8,10,12; there is no integer between 3 and 4) and [2] that S and T share no integer.

T encodes the instructions for S.

It is not quite clear to me if T is the complement of S, or is merely disjoint from it.

Links

Table of n, a(n) for n=1..50.

Crossrefs

Cf. A169865, A001462, A093848, A169863, A169866, A169867.

Sequence in context: A169866 A029902 A286992 * A024511 A206818 A191262

Adjacent sequences: A169861 A169862 A169863 * A169865 A169866 A169867

Keyword

nonn,more

Author

N. J. A. Sloane, Jun 27 2010, following a posting from Eric Angelini to the Sequence Fans Mailing List, Jun 22, 2010

Status

approved