

A297969


Pick any digit "d" in the sequence; the sum ["d" + (the next d digits)] is always even.


1



1, 3, 4, 2, 5, 7, 8, 6, 9, 11, 13, 30, 21, 15, 17, 19, 31, 33, 35, 37, 39, 51, 34, 23, 36, 25, 50, 20, 27, 38, 29, 70, 22, 24, 41, 52, 26, 43, 40, 56, 53, 45, 65, 28, 42, 55, 60, 44, 57, 46, 59, 48, 73, 62, 71, 75, 61, 58, 77, 47, 49, 64, 74, 78, 63, 67, 81, 72, 79, 90, 91, 92, 68, 95, 69, 93
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OFFSET

1,2


COMMENTS

The sequence starts with a(1) = 1 and was always extended with the smallest available integer not yet present in the sequence. This is the lexicographically first sequence with this property.


LINKS

Lars Blomberg, Table of n, a(n) for n = 1..10000


EXAMPLE

1 + 3 (the next digit) = 4 (even);
3 + 4,2,5 (the next 3 digits) = 14 (even);
4 + 2,5,7,8 (the next 4 digits) = 26 (even);
2 + 5,7 (the next 2 digits) = 14 (even);
...
9 + 1,1,1,3,3,0,2,1,1 = 22 (even);
...
0 + (no digit) = 0 (even).


CROSSREFS

Sequence in context: A322466 A211377 A056699 * A127296 A276958 A275848
Adjacent sequences: A297966 A297967 A297968 * A297970 A297971 A297972


KEYWORD

base,nonn


AUTHOR

Eric Angelini and Lars Blomberg, Jan 10 2018


STATUS

approved



