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 A115847 Integers i such that 17*i = 17 X i, i.e., 16*i XOR i = 17*i. 7

%I

%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,22,24,26,28,30,32,33,

%T 36,37,40,41,44,45,48,52,56,60,64,65,66,67,72,73,74,75,80,82,88,90,96,

%U 97,104,105,112,120,128,129,130,131,132,133,134,135,144,146,148,150

%N Integers i such that 17*i = 17 X i, i.e., 16*i XOR i = 17*i.

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

%C A116361(a(n)) <= 4. - _Reinhard Zumkeller_, Feb 04 2006

%H Charles R Greathouse IV, <a href="/A115847/b115847.txt">Table of n, a(n) for n = 0..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/Con#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>

%o (PARI) is(n)=bitxor(n,16*n)==17*n \\ _Charles R Greathouse IV_, Dec 08 2013

%Y Cf. A115848 shows this sequence in binary. Complement of A115849. Differs from A032966 for the first time at n=25, where A032966(25)=34 while a(25)=33.

%Y Cf. A003714, A048716, A115845, A116360.

%K nonn

%O 0,3

%A _Antti Karttunen_, Feb 01 2006

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Last modified July 22 20:51 EDT 2019. Contains 325226 sequences. (Running on oeis4.)