A114386 Integers i such that 57*i = 73 X i.

0, 9, 18, 27, 36, 45, 54, 63, 72, 73, 90, 91, 108, 109, 126, 127, 144, 146, 153, 155, 180, 182, 189, 191, 216, 217, 218, 219, 252, 253, 254, 255, 288, 292, 297, 301, 306, 310, 315, 319, 360, 361, 364, 365, 378, 379, 382, 383, 432, 434, 436, 438, 441, 443

Offset: 1

Author

Antti Karttunen, Feb 07 2006

Keywords

• nonn

Comments

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

Links

• Robert Israel, Table of n, a(n) for n = 1..10000
• Index entries for sequences defined by congruent products between domains N and GF(2)[X]

Crossrefs

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

Programs

Maple

g:= proc(n) local L,i;
  L:= op(convert(n,base,2));
  L:= [0$6,L] + [0$3,L,0$3] + [L,0$6] mod 2;
  add(L[i]*2^(i-1),i=1..nops(L));
end proc:
select(t -> 57*t = g(t), [$0..1000]); # Robert Israel, Jan 31 2021

Extensions

Offset corrected by Robert Israel, Jan 31 2021