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 A357432 a(1) = 1; a(2) = 2; for n > 2, a(n) is the smallest positive number not occurring earlier such that a(n) plus the sum of all previous terms appears in the string concatenation of a(1)..a(n-1). 3
 1, 2, 9, 17, 62, 38, 47, 115, 93, 87, 122, 30, 88, 51, 85, 4, 3, 31, 32, 21, 221, 64, 68, 302, 53, 116, 92, 268, 42, 48, 18, 78, 76, 97, 50, 153, 233, 108, 63, 20, 8, 16, 89, 12, 77, 537, 24, 377, 83, 46, 306, 28, 107, 197, 170, 126, 61, 566, 218, 82, 43, 25, 14, 148, 147, 6, 209, 145, 37, 103 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence is conjectured to be a permutation of the positive integers. In the first 20000 terms the fixed points are 393, 514, 1546, and 7854, although more likely exist. LINKS Table of n, a(n) for n=1..70. Scott R. Shannon, Image of the first 20000 terms. The green line is a(n) = n. EXAMPLE a(4) = 17 as a(1) + a(2) + a(3) + 17 = 1 + 2 + 9 + 17 = 29, and "29" appears in the string concatenation of a(1)..a(3) = "129". CROSSREFS Cf. A357433 (base 2), A000027, A007908, A000217, A351753, A337227. Sequence in context: A126082 A083707 A240651 * A369000 A346102 A346233 Adjacent sequences: A357429 A357430 A357431 * A357433 A357434 A357435 KEYWORD nonn,base AUTHOR Scott R. Shannon, Sep 28 2022 STATUS approved

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Last modified August 14 09:55 EDT 2024. Contains 375159 sequences. (Running on oeis4.)