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A300016
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For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shows at least a digit 2.
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1
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2, 10, 8, 1, 3, 4, 14, 20, 30, 28, 5, 7, 40, 29, 6, 9, 11, 12, 13, 15, 16, 19, 18, 22, 50, 31, 39, 58, 32, 60, 17, 23, 68, 42, 59, 21, 70, 80, 33, 27, 69, 41, 38, 24, 25, 26, 37, 90, 100, 110, 108, 52, 48, 62, 43, 47, 34, 35, 36, 44, 45, 46, 49, 51, 53, 54, 55, 56, 57, 61, 63, 64, 65, 66, 67
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OFFSET
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1,1
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COMMENTS
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The sequence starts with a(1) = 2 and is always extended with the smallest integer not yet present that does not lead to a contradiction.
A permutation of the natural numbers.
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LINKS
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EXAMPLE
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2 shows a digit 2, of course (k = 1)
2 + 10 = 12 and 12 shows at least a digit 2 (k = 2)
2 + 10 + 8 = 20 and 20 shows at least a digit 2 (k = 3)
2 + 10 + 8 + 1 = 21 and 21 shows at least a digit 2 (k = 4)
2 + 10 + 8 + 1 + 3 = 24 and 24 shows at least a digit 2 (k = 5)
2 + 10 + 8 + 1 + 3 + 4 = 28 and 28 shows at least a digit 2 (k = 6)
...
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CROSSREFS
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Cf. A300015 (which is the lexicographic first sequence of positive integers without duplicate terms having this property).
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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