A344539 Lexicographically earliest sequence S of distinct positive terms such that the sum of the last k digits of S is odd, k being the rightmost digit of a(n).

1, 2, 11, 3, 4, 6, 5, 7, 8, 12, 9, 13, 14, 18, 15, 17, 16, 19, 21, 24, 23, 26, 28, 25, 29, 27, 31, 32, 38, 35, 33, 34, 39, 41, 37, 46, 36, 43, 44, 49, 47, 45, 48, 51, 52, 57, 53, 54, 59, 61, 58, 56, 55, 65, 64, 63, 66, 68, 71, 67, 72, 69, 73, 74, 78, 75, 77, 76, 79, 81, 84, 83, 86, 88, 85, 89, 87, 91, 92

Offset

1,2

Comments

No term ends with zero.

Links

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

Example

a(1) = 1, k = 1, and the sum 1 is odd;
a(2) = 2, k = 2, and the sum 1 + 2 (= 3) is odd;
a(3) = 11, k = 1, and the sum is odd;
a(4) = 3, k = 3, and the sum 1 + 1 + 3 (= 5) is odd;
a(5) = 4, k = 4, and the sum 1 + 1 + 3 + 4 (= 9) is odd;
a(6) = 6, k = 6, and the sum 2 + 1 + 1 + 3 + 4 + 6 (= 17) is odd; etc.

Crossrefs

Cf. A344540 and A344541.

Sequence in context: A341512 A276676 A077805 * A342043 A351997 A104662

Adjacent sequences: A344536 A344537 A344538 * A344540 A344541 A344542

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, May 22 2021

Status

approved