A339900 Lexicographically earliest permutation of odd primes such that A007814(a(n)-1) = 1+A007814(n), where A007814 gives the 2-adic valuation of n.

3, 5, 7, 41, 11, 13, 19, 17, 23, 29, 31, 73, 43, 37, 47, 97, 59, 53, 67, 89, 71, 61, 79, 113, 83, 101, 103, 137, 107, 109, 127, 193, 131, 149, 139, 233, 151, 157, 163, 241, 167, 173, 179, 281, 191, 181, 199, 353, 211, 197, 223, 313, 227, 229, 239, 337, 251, 269, 263, 409, 271, 277, 283, 641, 307, 293, 311, 457, 331

Offset

1,1

Links

Antti Karttunen, Table of n, a(n) for n = 1..20000

Prog

(PARI) A339900(n) = { my(lev=1+valuation(n, 2), k=(1+(n>>(lev-1)))/2); forprime(p=3, , if(valuation(p-1, 2)==lev, k--; if(!k, return(p)))); };

Crossrefs

Cf. A001511, A007814, A065091.

Cf. A002145 (odd bisection), A007521 (quadrisection starting from 5), A105126, A105127, A105128, A105129, A105130, A105131, A105132.

Cf. also A108546, A111745.

Sequence in context: A234569 A037287 A163797 * A130536 A261511 A146972

Adjacent sequences: A339897 A339898 A339899 * A339901 A339902 A339903

Keyword

nonn,look

Author

Antti Karttunen, Dec 25 2020

Status

approved