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 A309342 a(1) = 0, and for n >= 1, a(n+1) is the number of times the binary representation of a(n) appears in the concatenation of the binary representations of a(1), ..., a(n-1). 1
 0, 0, 1, 0, 2, 1, 2, 2, 3, 1, 7, 1, 11, 2, 5, 5, 7, 7, 9, 0, 12, 1, 30, 2, 12, 2, 14, 4, 3, 26, 4, 4, 5, 15, 13, 7, 24, 0, 34, 0, 39, 2, 27, 3, 45, 3, 49, 0, 49, 1, 89, 2, 36, 2, 39, 3, 60, 3, 66, 1, 112, 2, 45, 4, 19, 6, 26, 6, 28, 6, 30, 12, 12, 13, 20, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS This sequence is a binary variant of A276457. This sequence is necessarily unbounded. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, Logarithmic scatterplot of the first 250000 terms Rémy Sigrist, Perl program for A309342 EXAMPLE The first terms, alongside the binary representations of a(n) and of a(1), ..., a(n-1) with marks in front of occurrences of a(n), are:   n   a(n)  bin(a(n))  bin(a(1)...a(n-1))   --  ----  ---------  --------------------    1     0          0    2     0          0                    [0    3     1          1                    00    4     0          0                 [0[01    5     2         10                 00[10    6     1          1              00[10[10    7     2         10             00[10[101    8     2         10          00[10[101[10    9     3         11          001010[11010   10     1          1  00[10[10[1[10[10[1[1   11     7        111       00101011010[111 PROG (Perl) See Links section. CROSSREFS Cf. A276457. Sequence in context: A331887 A328220 A134192 * A284044 A126305 A088431 Adjacent sequences:  A309339 A309340 A309341 * A309343 A309344 A309345 KEYWORD nonn,base AUTHOR Rémy Sigrist, Jul 24 2019 STATUS approved

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Last modified April 10 02:20 EDT 2020. Contains 333392 sequences. (Running on oeis4.)