A391846 - OEIS

%I #13 Dec 29 2025 07:32:42

%S 0,1,2,3,4,6,8,12,15,16,17,24,27,30,31,32,33,34,48,51,54,60,62,63,64,

%T 65,66,68,96,102,108,120,124,126,127,128,129,130,132,136,192,195,204,

%U 207,216,219,240,243,248,252,254,255,256,257,258,260,264,272,273,384,387,390,403,408,411,414,415,432,435,438

%N Numbers k such that 11*k = A048720(m, k) for some m, where A048720 is carryless base-2 multiplication.

%C If n is a term, then 2*n is also a term, and vice versa. See A391847 for the odd terms.

%H Antti Karttunen, <a href="/A391846/b391846.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Con#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>.

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

%H <a href="/index/Ca#CARRYLESS">Index entries for sequences related to carryless arithmetic</a>.

%F {0 followed by k such that A280500(11*k, k) = m for some m > 0}.

%o (PARI) is_A391846(k) = (!k || (0==lift(Pol(binary(11*k)*Mod(1, 2)) % Pol(binary(k))*Mod(1, 2))));

%Y Cf. A048720, A280500.

%Y Row 11 of A391925.

%Y Subsequences: A048718 (m=11), A115803 (m=31), A391847 (odd terms).

%Y Cf. also A391585, A391740, A391742, A391744, A391848, A391850, A391852, A391854, A391856, A391858, A391860.

%K nonn,base

%O 1,3

%A _Antti Karttunen_, Dec 21 2025