A297969 Pick any digit "d" in the sequence; the sum ["d" + (the next d digits)] is always even.

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

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: A211377 A350218 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