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 A335497 a(1) = 1, and for any n > 0, a(n+1) is the number of times the decimal representation of a(n) appears in the concatenation of the first n terms, possibly with overlap. 1
 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 1, 12, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 9, 2, 10, 2, 11, 4, 3, 3, 4, 4, 5, 3, 5, 4, 6, 3, 6, 4, 7, 3, 7, 4, 8, 3, 8, 4, 9, 3, 9, 4, 10, 3, 10, 4, 11, 5, 5, 6, 5, 7, 5, 8, 5, 9, 5, 10, 5, 11, 6, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS This sequence is a variant of A276457. This sequence is unbounded. LINKS Rémy Sigrist, Logarithmic scatterplot of the first 1000000 terms Rémy Sigrist, Perl program for A335497 EXAMPLE The first terms, alongside their concatenations with a star in front of each occurrence of a(n), are:   n   a(n)  cat(a(1)...a(n))   --  ----  ---------------------------------    1     1  *1    2     1  *1*1    3     2  11*2    4     1  *1*12*1    5     3  1121*3    6     1  *1*12*13*1    7     4  112131*4    8     1  *1*12*13*14*1    9     5  11213141*5   ...   17     9  1121314151617181*9   18     1  *1*12*13*14*15*16*17*18*19*1   19    10  112131415161718191*10   20     1  *1*12*13*14*15*16*17*18*19*1*10*1   21    12  1*12131415161718191101*12   22     2  11*21314151617181911011*2*2 PROG (Perl) See Links section. CROSSREFS Cf. A179801, A276457. Sequence in context: A133622 A158416 A318225 * A309872 A248034 A322182 Adjacent sequences:  A335494 A335495 A335496 * A335498 A335499 A335500 KEYWORD nonn,base AUTHOR Rémy Sigrist, Jun 14 2020 STATUS approved

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Last modified September 27 15:29 EDT 2020. Contains 337383 sequences. (Running on oeis4.)