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A141298 a(n) = number of distinct substrings in the binary representation of n that each occur multiple times. 4
0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 5, 3, 2, 3, 2, 3, 2, 3, 2, 3, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 4, 7, 5, 3, 5, 4, 3, 4, 3, 3, 3, 3, 5, 5, 2, 4, 3, 4, 2, 4, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 8, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 7, 9, 5, 6, 4, 4, 5, 8, 4, 6, 5, 4, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Substrings may start with a 0.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

EXAMPLE

The distinct substrings that occur multiple times in decimal 10 = binary 1010 are 0,1 and 10. So a(10)=3.

MATHEMATICA

Table[With[{d = IntegerDigits[n, 2]}, Count[Split@ Sort@ Apply[Join, Table[Partition[d, k, 1], {k, Length@ d}]], _?(Length@ # > 1 &)]], {n, 105}] (* Michael De Vlieger, Sep 22 2017 *)

CROSSREFS

Cf. A141297, A141299, A141300.

Sequence in context: A264025 A139465 A010244 * A256915 A209254 A227738

Adjacent sequences:  A141295 A141296 A141297 * A141299 A141300 A141301

KEYWORD

nonn,changed

AUTHOR

Leroy Quet, Jun 24 2008

EXTENSIONS

Extended by Ray Chandler, Jun 25 2009

STATUS

approved

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Last modified September 24 17:28 EDT 2017. Contains 292432 sequences.