A344540 Lexicographically earliest sequence S of distinct nonnegative terms such that the sum of the last k digits of S is even, k being the rightmost digit of a(n).

0, 2, 13, 4, 3, 5, 6, 8, 7, 9, 10, 14, 19, 15, 17, 20, 22, 24, 26, 28, 30, 16, 25, 18, 29, 23, 34, 27, 38, 33, 35, 37, 39, 40, 42, 44, 46, 48, 50, 36, 45, 43, 49, 47, 54, 53, 55, 57, 59, 60, 62, 64, 66, 68, 70, 56, 65, 58, 69, 63, 74, 67, 78, 73, 75, 77, 79, 80, 82, 84, 86, 88, 90, 76, 85, 83, 89, 87, 94

Offset

1,2

Comments

No term ends with 1.

Links

Table of n, a(n) for n=1..79.

Example

a(1) = 0, k = 0, and the sum 0 is even;
a(2) = 2, k = 2, and the sum 0 + 2 (= 2) is even;
a(3) = 13, k = 3, and the sum 2 + 1 + 3 (= 6) is even;
a(4) = 4, k = 4, and the sum 2 + 1 + 3 + 4 (= 10) is even;
a(5) = 3, k = 3, and the sum 4 + 3 + 5 (= 12) is even;
a(6) = 5, k = 5, and the sum 1 + 3 + 4 + 3 + 5 (= 16) is even; etc.

Crossrefs

Cf. A344539 and A344541.

Sequence in context: A120863 A286459 A358433 * A338785 A335817 A093079

Adjacent sequences: A344537 A344538 A344539 * A344541 A344542 A344543

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, May 22 2021

Status

approved