A308172 a(0)=1; thereafter a(n) = smallest number missing from A081145 after A081145(n) has been calculated.

1, 2, 3, 3, 3, 5, 5, 5, 6, 6, 6, 9, 9, 9, 10, 10, 10, 11, 11, 11, 13, 13, 13, 15, 15, 15, 17, 17, 17, 18, 18, 18, 19, 19, 19, 22, 22, 22, 23, 23, 24, 24, 24, 26, 26, 26, 29, 29, 29, 30, 30, 30, 31, 31, 31, 32, 32, 32, 35, 35, 35, 36, 36, 36, 38, 38, 38, 39, 39, 39, 40, 40, 43

Offset

0,2

Comments

More than the usual number of terms are shown in order to emphasize the irregularities.

Usually the terms appear in groups of three, but there are many irregularities. To see them, take this sequence, apply the RUNS transform twice, and bisect the result. This produces a very irregular sequence, 12, 10, 1, 46, 2, 2, 3, 2, 5, 6, 7, 10, 9, 13, 25, 5, 24, 1, 42, ... It would be nice to understand this better.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..25000

Rémy Sigrist, PARI program for A308172

Example

n=4: Terms 1 through 4 of A081145 are 1,2,4,7. After A081145(4)=7 has been calculated, the numbers not yet in A081145 are 3,5,6,8,..., so a(4) = 3.

Prog

(PARI) See Links section.

Crossrefs

Cf. A081145.

Sequence in context: A097224 A087418 A087731 * A227559 A234968 A141784

Adjacent sequences: A308169 A308170 A308171 * A308173 A308174 A308175

Keyword

nonn

Author

N. J. A. Sloane, May 16 2019

Status

approved