A300022 - OEIS

A300022

For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shows at least a digit 8.

8, 10, 20, 30, 12, 1, 2, 3, 22, 40, 32, 4, 5, 9, 50, 33, 6, 11, 60, 23, 7, 70, 24, 16, 80, 90, 13, 17, 82, 18, 14, 15, 19, 21, 25, 26, 62, 28, 72, 38, 63, 27, 73, 37, 64, 36, 65, 35, 66, 34, 67, 43, 52, 29, 31, 39, 49, 53, 47, 54, 46, 55, 45, 56, 44, 57, 83, 100, 110, 102, 41, 42, 75, 48, 92

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OFFSET

1,1

COMMENTS

The sequence starts with a(1) = 8 and is always extended with the smallest integer not yet present that does not lead to a contradiction.

A permutation of the natural numbers.

LINKS

Jean-Marc Falcoz, Table of n, a(n) for n = 1..10001

EXAMPLE

8 shows a digit 8, of course (k = 1)

8 + 10 = 18 and 18 shows at least a digit 8 (k = 2)

8 + 10 + 20 = 38 and 38 shows at least a digit 8 (k = 3)