A329849 For a(n) even (respectively odd), there are a(n) even terms (respectively odd terms) between the only two occurrences of a(n). This is the lexicographically earliest sequence of nonnegative integers with this property.

0, 0, 1, 2, 3, 1, 4, 5, 6, 2, 7, 3, 8, 9, 10, 4, 11, 12, 13, 5, 14, 6, 15, 16, 17, 7, 18, 19, 20, 8, 21, 22, 23, 9, 24, 10, 25, 26, 27, 11, 28, 29, 30, 12, 31, 13, 32, 33, 34, 14, 35, 36, 37, 15, 38, 39, 40, 16, 41, 17, 42, 43, 44, 18, 45, 46, 47, 19, 48, 20, 49, 50, 51, 21, 52, 53, 54, 22, 55

Offset

1,4

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..10000

Example

Between the two 0's there are 0 terms.
Between the two 1's there is 1 odd term (which is 3 - we don't count 2 as 2 is even).
Between the two 2's there are 2 even terms (which are 4 and 6 - we don't count 3, 1 and 5 as they are odd).
Between the two 3's there are 3 odd terms (which are 1, 5 and 7 - we don't count 4, 6 and 2 as they are even).
Between the two 4's there are 4 even terms (which are 6, 2, 8 and 10 - we don't count 5, 7, 3 and 9 as they are odd).
Etc.

Crossrefs

Cf. A014552.

Sequence in context: A055449 A055442 A055439 * A122005 A362506 A306353

Adjacent sequences: A329846 A329847 A329848 * A329850 A329851 A329852

Keyword

base,nonn

Author

Eric Angelini and Jean-Marc Falcoz, Nov 22 2019

Status

approved