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Integers i such that 57*i = 73 X i.
4

%I #9 Feb 01 2021 13:21:37

%S 0,9,18,27,36,45,54,63,72,73,90,91,108,109,126,127,144,146,153,155,

%T 180,182,189,191,216,217,218,219,252,253,254,255,288,292,297,301,306,

%U 310,315,319,360,361,364,365,378,379,382,383,432,434,436,438,441,443

%N Integers i such that 57*i = 73 X i.

%C Here * stands for ordinary multiplication and X means carryless (GF(2)[X]) multiplication (A048720).

%H Robert Israel, <a href="/A114386/b114386.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>

%p g:= proc(n) local L,i;

%p L:= op(convert(n,base,2));

%p L:= [0$6,L] + [0$3,L,0$3] + [L,0$6] mod 2;

%p add(L[i]*2^(i-1),i=1..nops(L));

%p end proc:

%p select(t -> 57*t = g(t), [$0..1000]); # _Robert Israel_, Jan 31 2021

%Y Row 57 of A115872. A114387 shows this sequence in binary.

%K nonn

%O 1,2

%A _Antti Karttunen_, Feb 07 2006

%E Offset corrected by _Robert Israel_, Jan 31 2021