A232805 - OEIS

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A232805

a(n) is the length of the n-th chunk of nonprimes in this sequence, the chunks being separated by primes; lexicographically least such sequence starting with a prime.

2, 1, 4, 3, 6, 5, 8, 9, 10, 12, 7, 14, 15, 16, 11, 18, 20, 21, 22, 24, 25, 13, 26, 27, 28, 30, 32, 17, 33, 34, 35, 36, 38, 39, 40, 42, 19, 44, 45, 46, 48, 49, 50, 51, 52, 54, 23, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 29, 68, 69, 70, 72, 74, 75, 76, 77

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OFFSET

1,1

COMMENTS

Another self-describing sequence invented by E. Angelini. Conjectured to be a permutation of the positive integers.

The position of the primes are given in A232807.

See A232846 for the lexicographically smaller variant starting with a nonprime.

LINKS

Table of n, a(n) for n=1..66.

E. Angelini, Self-describing chunks of primes, SeqFan list, Nov 30 2013

PROG

(PARI) a=[]; i=p=c=0; while(#a<99, a=concat(a, p=nextprime(p+1)); for(j=1, a[i++], while(isprime(c++), ); a=concat(a, c)); a