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 A336523 Lexicographically earliest sequence of distinct positive terms starting with a(1) = 0 and a(2) = 1 such that the product of the last two digits of the sequence rebuilds, digit after digit, the sequence itself. 2
 0, 1, 11, 111, 211, 311, 411, 26, 511, 611, 3, 711, 27, 811, 34, 16, 15, 911, 28, 1011, 1111, 13, 17, 1211, 43, 71, 8, 1311, 1411, 31, 4, 44, 35, 19, 1511, 62, 18, 25, 1611, 1711, 1811, 1911, 2011, 2111, 2211, 113, 2311, 7, 126, 2411, 72, 131, 117, 29, 2511, 213, 2611, 2711, 127, 2811, 2911, 231, 172, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Jean-Marc Falcoz, Table of n, a(n) for n = 1..10002 EXAMPLE After a(1) = 0 and a(2) = 1, the smallest unused term a(3) allowing the rebuilding of the sequence by multiplying its last two digits is 11 (1*1 = 1); now the succession of such products is 0, 1; after a(3) = 11, the smallest unused term a(4) allowing the rebuilding of the sequence by multiplying its last two digits is 111 (as the product of the last two digits of 111 is 1*1 = 1); now the succession of the products is 0, 1, 1); after a(4) = 111, the smallest unused term a(5) allowing the rebuilding of the sequence by multiplying its last two digits is 211 (as the product of the last two digits of 211 is 1*1 = 1); now the succession of the products is 0, 1, 1, 1); after a(5) = 211, the smallest unused term a(6) allowing the rebuilding of the sequence by multiplying its last two digits is 311 (as the product of the last two digits of 311 is 1*1 = 1); now the succession of the products is 0, 1, 1, 1, 1); after a(6) = 311 and a(7) = 411 the smallest unused term a(8) allowing the rebuilding of the sequence by multiplying its last two digits is 26 (as the product of the last two digits of 26 is 2*6 = 12); now the succession of the products is 0, 1, 1, 1, 1, 1, 1, 2 which is the succession of the sequence's digits itself); etc. CROSSREFS Cf. A335214. Sequence in context: A039990 A269002 A092819 * A209233 A062095 A055657 Adjacent sequences: A336520 A336521 A336522 * A336524 A336525 A336526 KEYWORD base,nonn AUTHOR Eric Angelini and Jean-Marc Falcoz, Jul 24 2020 STATUS approved

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Last modified September 23 02:06 EDT 2023. Contains 365532 sequences. (Running on oeis4.)