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

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, 36, 37, 40, 41, 44, 45, 48, 52, 56, 60, 64, 65, 66, 67, 72, 73, 74, 75, 80, 82, 88, 90, 96, 97, 104, 105, 112, 120, 128, 129, 130, 131, 132, 133, 134, 135, 144, 146, 148, 150

Offset: 0

Author

Antti Karttunen, Feb 01 2006

Keywords

• nonn

Comments

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

A116361(a(n)) <= 4. - Reinhard Zumkeller, Feb 04 2006

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 0..10000
• Index entries for sequences defined by congruent products between domains N and GF(2)[X]
• Index entries for sequences defined by congruent products under XOR

Crossrefs

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.

Cf. A003714, A048716, A115845, A116360.

Programs

PARI

is(n)=bitxor(n,16*n)==17*n \\ Charles R Greathouse IV, Dec 08 2013