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 A284030 Replacing each term with its digital root generates the original sequence, digit by digit. 1
 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 18, 28, 17, 11, 26, 37, 16, 46, 55, 29, 15, 12, 25, 64, 24, 13, 33, 14, 23, 38, 27, 73, 32, 82, 47, 56, 41, 42, 22, 65, 31, 91, 21, 39, 48, 118, 49, 74, 57, 66, 35, 83, 34, 43, 75, 84, 92, 44, 119, 58, 52, 59, 51, 67, 127, 76, 128, 137, 146, 69, 68, 93, 136, 36, 145, 155, 154, 111, 45, 85, 53, 163, 172, 62, 94, 54, 61, 112, 77, 79, 78, 87, 129, 86, 71, 138, 147 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence is started with a(1) = 1 and always extended with the smallest integer not yet present and not leading to a contradiction. There is no digit "0" in the sequence as "0" cannot be a digital root. LINKS Jean-Marc Falcoz, Table of n, a(n) for n = 1..10001 EXAMPLE After 1,2,3,4,5,6,7,8,9 we have the terms 19,18,28,17,11,26,37,16,46,55,..., whose digital roots are respectively 1,9,1,8,2,8,1,7,1,1,... These digits are precisely the ones used in the sequence, in that order. CROSSREFS Cf. A010888 (digital root), A052382 (zeroless numbers). Sequence in context: A118758 A174025 A106649 * A087121 A087052 A077557 Adjacent sequences: A284027 A284028 A284029 * A284031 A284032 A284033 KEYWORD base,nonn AUTHOR Eric Angelini and Jean-Marc Falcoz, Mar 24 2017 STATUS approved

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Last modified December 1 03:09 EST 2022. Contains 358454 sequences. (Running on oeis4.)