A328986 - OEIS

A328986

The sequence C(n) defined in the comments (A and B smallest missing numbers, offset 1).

4, 10, 16, 21, 28, 33, 39, 45, 51, 57, 62, 68, 74, 80, 86, 91, 98, 103, 109, 115, 120, 127, 132, 138, 144, 150, 156, 161, 168, 173, 179, 185, 190, 197, 202, 208, 214, 220, 226, 231, 237, 243, 249, 255, 260, 267, 272, 278, 284, 290, 296, 301, 307, 313, 319

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Define a triple of sequences A,B,C by A[1]=1, B[1]=2, C[1]=4; for n>=2, A[n] = smallest missing number from the terms of A,B,C defined so far; B[n] = = smallest missing number from the terms of A,B,C defined so far; C[n] = n+A[n]+B[n].

Then A = A286660, B = A080652, C = the present sequence.

Inspired by the triples [A003144, A003145, A004146] and [A298468, A298469, A047218].

LINKS

Table of n, a(n) for n=1..55.

EXAMPLE

The initial terms are:

n: 1, 2, 3, 4, 5, 6, 7, 8. 9. 10. 11, 12, ...

A: 1, 3, 6, 8, 11, 13, 15, 18, 20, 23, 25, 27, ...

B: 2, 5, 7, 9, 12, 14, 17, 19, 22, 24, 26, 29, ...

C: 4, 10, 16, 21, 28, 33, 39, 45, 51, 57, 62, 68, ...

CROSSREFS

Cf. A286660, A080652; A003144, A003145, A003146; A298468, A298469, A047218.