A114086 Numbers m such that m XOR 32*m = 33*m.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 65, 68, 69, 72, 73, 76, 77, 80, 81, 84, 85, 88, 89, 92, 93, 96, 100, 104, 108, 112, 116, 120

Offset

1,3

Comments

A116361(a(n)) <= 5.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Index entries for sequences defined by congruent products under XOR

Maple

filter:= proc(x) uses MmaTranslator[Mma]; BitXor(x, 32*x) = 33*x end proc:
select(filter, [$0..1000]); # Robert Israel, Mar 19 2026

Prog

(PARI) is(n)=bitxor(n, 32*n)==33*n \\ Charles R Greathouse IV, Sep 25 2024

Crossrefs

Differs from A001477 for the first time at n=33 (33, 35, 37, 39, etc. are not present in this sequence). Cf. A003714, A048716, A115845, A115847.

Sequence in context: A071670 A090111 A071669 * A257333 A090110 A373868

Adjacent sequences: A114083 A114084 A114085 * A114087 A114088 A114089

Keyword

nonn

Author

Reinhard Zumkeller, Feb 04 2006

Extensions

Offset corrected by Robert Israel, Mar 19 2026

Status

approved