

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 lexicographially earliest sequence of nonnegative integers with this property.


1



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
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OFFSET

1,4


LINKS

JeanMarc Falcoz, Table of n, a(n) for n = 1..10000


EXAMPLE

Between the two 0s there are 0 terms.
Between the two 1s there is 1 odd term (which is 3  we don't count 2 as 2 is even).
Between the two 2s 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 3s 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 4s 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 A306353 A117385
Adjacent sequences: A329846 A329847 A329848 * A329850 A329851 A329854


KEYWORD

base,nonn


AUTHOR

Eric Angelini and JeanMarc Falcoz, Nov 22 2019


STATUS

approved



