A391852 Numbers k such that 17*k = A048720(m, k) for some m, where A048720 is carryless base-2 multiplication.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 22, 24, 26, 28, 30, 31, 32, 33, 36, 37, 40, 41, 44, 45, 48, 52, 56, 60, 62, 63, 64, 65, 66, 67, 72, 73, 74, 75, 80, 82, 88, 90, 96, 97, 104, 105, 112, 120, 124, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 144, 146, 148, 150, 160, 161, 164, 165, 176

Offset

1,3

Comments

If n is a term, then 2*n is also a term, and vice versa. See A391853 for the odd terms.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Index entries for sequences defined by congruent products between domains N and GF(2)[X].

Index entries for sequences related to binary expansion of n.

Index entries for sequences related to carryless arithmetic.

Formula

{0 followed by k such that A280500(17*k, k) = m for some m > 0}.

Prog

(PARI) is_A391852(k) = (!k || (0==lift(Pol(binary(17*k)*Mod(1, 2)) % Pol(binary(k))*Mod(1, 2))));

Crossrefs

Cf. A048720, A280500.

Subsequences: A115847 (m=17), A115809 (m=49), A391853 (odd terms).

Sequence in context: A235986 A080197 A341749 * A115847 A204315 A032966

Adjacent sequences: A391849 A391850 A391851 * A391853 A391854 A391855

Keyword

nonn,base

Author

Antti Karttunen, Dec 21 2025

Status

approved