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A273470
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The successive numbers of digits between two "5"s in the sequence are given by the sequence itself.
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0
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0, 1, 2, 3, 4, 5, 50, 51, 6, 52, 7, 8, 53, 9, 10, 54, 11, 12, 56, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 15, 40, 41, 42, 43, 44, 46, 47, 48, 49, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 25, 78, 79, 80, 57, 81, 82, 83, 84, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 35, 108, 109, 115, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 128, 125, 129, 130, 131, 58, 132, 133, 134, 59, 136, 137, 138, 139, 140, 141, 142, 143, 144, 146, 147, 148, 149, 160, 161, 162, 163, 135, 164, 166, 167, 145, 168, 169, 170
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OFFSET
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1,3
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COMMENTS
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This is the lexicographically first such sequence, starting with a(1)=0, that was always extended with the smallest integer not already present in the sequence and not leading to a contradiction.
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LINKS
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EXAMPLE
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There are 0 digits between the first two "5" of the sequence [0,1,2,3,4,5,50]; then there is 1 digit between the next pair of "5": [50,51]; then there are 2 digits between the next pair of "5": [51,6,52]; then there are 3 digits between the next pair of "5": [52,7,8,53]; then there are 4 digits between the next pair of "5": [53,9,10,54]; then there are 5 digits between the next pair of "5": [54,11,12,56]; then there are 50 digits between the next pair of "5": [56,13,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,15], etc. The quantities 0, 1, 2, 3, 4, 5, 50,... rebuild the starting sequence.
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CROSSREFS
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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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