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A171085 A "run" means a maximal string of numbers that includes exactly one prime; this sequence has the property that the sequence of run lengths is the sequence itself and all natural numbers appear exactly once. 1
2, 1, 3, 5, 4, 6, 7, 8, 9, 10, 12, 11, 14, 15, 16, 13, 18, 20, 21, 22, 24, 17, 25, 26, 27, 28, 30, 32, 19, 33, 34, 35, 36, 38, 39, 40, 23, 42, 44, 45, 46, 48, 49, 50, 51, 29, 52, 54, 55, 56, 57, 58, 60, 62, 63, 31, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Lars Blomberg, Table of n, a(n) for n = 1..10000

Eric Angelini, Runs

E. Angelini, Runs [Cached copy, with permission]

EXAMPLE

If we insert a carriage return just before each prime, we get:

2, 1,

3,

5, 4, 6,

7, 8, 9, 10, 12,

11, 14, 15, 16,

13, 18, 20, 21, 22, 24,

17, 25, 26, 27, 28, 30, 32,

19, 33, 34, 35, 36, 38, 39, 40,

23, 42, 44, 45, 46, 48, 49, 50, 51,

29, 52, 54, 55, 56, 57, 58, 60, 62, 63,

...

where the first column is the sequence of primes.

CROSSREFS

Sequence in context: A182939 A056943 A258654 * A288538 A256210 A256371

Adjacent sequences: A171082 A171083 A171084 * A171086 A171087 A171088

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Sep 07 2010, based on a posting to the Sequence Fans Mailing List by Eric Angelini, Aug 23 2010.

EXTENSIONS

Corrected a(47)-a(54) and added a(55)-a(67) from Lars Blomberg, Nov 23 2013

STATUS

approved

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Last modified January 28 09:01 EST 2023. Contains 359851 sequences. (Running on oeis4.)