A300024 - OEIS

A300024

For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shows at least a digit 0.

10, 20, 30, 40, 1, 2, 3, 4, 50, 41, 5, 14, 60, 21, 6, 13, 70, 11, 7, 12, 80, 8, 22, 71, 9, 90, 100, 101, 19, 81, 15, 16, 17, 18, 23, 110, 102, 28, 72, 38, 61, 29, 73, 27, 74, 26, 75, 25, 76, 24, 77, 31, 32, 33, 37, 62, 48, 51, 39, 63, 47, 52, 58, 42, 68, 34, 36, 64, 46, 53, 57, 43, 35, 44, 78

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OFFSET

1,1

COMMENTS

The sequence starts with a(1) = 10 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

10 shows at least a digit 0, of course (k = 1)

10 + 20 = 30 and 30 shows at least a digit 0 (k = 2)

10 + 20 + 30 = 60 and 60 shows at least a digit 0 (k = 3)