A225387 Construct sequences P,Q,R by the rules: Q = first differences of P, R = second differences of P, P starts with 1,3,9, Q starts with 2,6, R starts with 4; at each stage the smallest number not yet present in P,Q,R is appended to R. Sequence gives R.

4, 5, 7, 8, 10, 12, 13, 14, 15, 16, 17, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86

Offset

1,1

Comments

In contrast to A225376-A225378, here it is not required (and not true) that each number should appear just once in P union Q union R. On the other hand, again in contrast to A225376-A225378, here it is obvious that P, Q, R are infinite.

The first three numbers that are repeated are 284, 2074, 3500, which appear in both P and Q. There may be no others. Of course R is disjoint from P and Q, by definition.

Links

Table of n, a(n) for n=1..71.

Maple

See A225385.

Crossrefs

Cf. A225385, A225386, A005228, A030124, A037257, A225376, A225377, A225378.

Sequence in context: A247467 A032728 A078577 * A037259 A219115 A118731

Adjacent sequences: A225384 A225385 A225386 * A225388 A225389 A225390

Keyword

nonn

Author

N. J. A. Sloane, May 15 2013

Status

approved