A356397 - OEIS

%I #10 Aug 07 2022 15:37:00

%S 1,1,2,3,4,4,6,7,8,8,16,24,12,12,14,15,16,16,32,48,64,64,96,112,24,24,

%T 48,72,28,28,30,31,32,32,64,96,128,128,192,224,256,256,512,768,384,

%U 384,448,480,48,48,96,144,192,192,288,336,56,56,112,168,60,60,62

%N a(n) is the product of the terms in the n-th row of triangle A343835; a(0) = 1.

%H Rémy Sigrist, <a href="/A356397/b356397.txt">Table of n, a(n) for n = 0..8192</a>

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%F a(2*n) = a(n) * A277561(n).

%F a(n) = n iff n belongs to A023758 \ {0}.

%F A246674(n) divides a(n).

%e For n = 11:

%e - row 11 of A343835 is (8, 3),

%e - so a(11) = 8 * 3 = 24.

%o (PARI) a(n) = { my (v=1); while (n, my (z=valuation(n, 2), o=valuation(n/2^z+1, 2), r=(2^o-1)*2^z); n-=r; v*=r); v }

%Y Cf. A023758, A059867, A246674, A277561, A343835.

%K nonn,base

%O 0,3

%A _Rémy Sigrist_, Aug 05 2022