A276227 - OEIS

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A276227

The successive absolute differences of the "mixed" pairs rebuild the starting sequence (see Comments for the definition of a "mixed pair").

1, 2, 3, 5, 7, 9, 4, 6, 8, 10, 12, 14, 11, 13, 17, 19, 23, 18, 15, 16, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 29, 31, 37, 41, 43, 47, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 53, 59, 61, 67, 71, 65, 58, 60, 62, 63, 64, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 73, 79, 83, 89, 97, 87, 82, 84, 85, 86, 88, 90, 91, 92

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OFFSET

1,2

COMMENTS

A "mixed pair" happens when a(n) and a(n+1) share exactly one prime.

The sequence starts with a(1) = 1 and is always extended with the

smallest integer not yet used that doesn't lead to a contradiction.

The sequence is a permutation of the natural numbers.

LINKS

Jean-Marc Falcoz, Table of n, a(n) for n = 1..4002

Index entries for sequences that are permutations of the natural numbers

EXAMPLE