A339813 -id:A339813 - cp's OEIS frontend

A339814 The exponent of the highest power of 2 dividing (A019565(2n) - 1).

1, 2, 1, 1, 2, 1, 3, 1, 5, 1, 2, 2, 1, 7, 1, 2, 1, 6, 1, 1, 4, 1, 2, 1, 2, 1, 5, 3, 1, 2, 1, 4, 1, 2, 1, 1, 2, 1, 3, 1, 4, 1, 2, 2, 1, 4, 1, 2, 1, 4, 1, 1, 5, 1, 2, 1, 2, 1, 4, 3, 1, 2, 1, 1, 3, 1, 2, 2, 1, 3, 1, 4, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 3, 6, 1, 2, 1, 2, 1, 4, 1, 1, 5, 1, 2, 1, 3, 1, 2, 2, 1, 3, 1, 5, 1

Offset: 1

Graph
List
Refs
Listen
History
Text
Internal format

Antti Karttunen, Dec 18 2020

nonn

The 2-adic valuation of A339809(2n).

Antti Karttunen, Table of n, a(n) for n = 1..65537

Bisection of A339813.

Cf. A003961, A007814, A019565, A339809, A339815, A339822.

A019565(n) = { my(m=1, p=1); while(n>0, p = nextprime(1+p); if(n%2, m *= p); n >>= 1); (m); };
A339814(n) = valuation((A019565(2*n)-1),2);

a(n) = A007814(A339809(2*n)) = A007814(A019565(2*n)-1).

a(n) = A007814(A003961(A019565(n))-1).

cp's OEIS Frontend

A339814 The exponent of the highest power of 2 dividing (A019565(2n) - 1).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

PARI

Formula