login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A336037 a(n+1) is the number of times the binary representation of a(n) is the concatenation of that of one or more consecutive terms in this sequence so far with a(1) = 1. 1
1, 1, 2, 1, 3, 2, 2, 3, 3, 4, 1, 4, 2, 4, 3, 5, 2, 5, 3, 6, 2, 6, 3, 7, 2, 7, 3, 8, 1, 5, 4, 4, 5, 5, 6, 4, 6, 5, 7, 4, 7, 5, 8, 2, 8, 3, 9, 2, 9, 3, 10, 2, 10, 3, 11, 2, 11, 3, 12, 2, 12, 3, 13, 3, 14, 3, 15, 2, 13, 4, 8, 4, 9, 4, 10, 4, 11, 4, 12, 4, 13, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This sequence has similarities with A331614 and A332518; here we concatenate consecutive terms, there we add and multiply them, respectively.

This sequence is unbounded.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, Density plot of the first 100000000 terms

Rémy Sigrist, PARI program for A336037

EXAMPLE

The first terms, alongside their binary representation and the corresponding concatenations, are:

  n   a(n)  bin(a(n))  Concatenations

  --  ----  ---------  --------------

   1     1          1  a(1)

   2     1          1  a(1), a(2)

   3     2         10  a(3)

   4     1          1  a(1), a(2), a(4)

   5     3         11  a(1)|a(2), a(5)

   6     2         10  a(3), a(6)

   7     2         10  a(3), a(6), a(7)

   8     3         11  a(1)|a(2), a(5), a(8)

   9     3         11  a(1)|a(2), a(5), a(8), a(9)

  10     4        100  a(10)

PROG

(PARI) See Links section.

CROSSREFS

Cf. A331614, A332518.

Sequence in context: A066272 A237130 A330524 * A058773 A122805 A103981

Adjacent sequences:  A336034 A336035 A336036 * A336038 A336039 A336040

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Jul 07 2020

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 26 11:41 EDT 2020. Contains 337368 sequences. (Running on oeis4.)