A318655 - OEIS

%I #11 Sep 01 2018 22:28:10

%S 0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,

%T 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,

%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0

%N The 2-adic valuation of A318649, the numerators of "Dirichlet Square Root" of squares.

%C Probably also the 2-adic valuation of A318511.

%H Antti Karttunen, <a href="/A318655/b318655.txt">Table of n, a(n) for n = 1..65537</a>

%F a(n) = A007814(A318649(n)).

%F It seems that for all n >= 1, a(n) <= A007814(A064549(n)) <= A007814(A000290(n)).

%o (PARI) A318655(n) = valuation(A318649(n),2); \\ Needs also code from A318649.

%Y Cf. A318511, A318649, A318651, A318652, A318654 (the positions of nonzero terms).

%K nonn

%O 1,8

%A _Antti Karttunen_, Sep 01 2018