A391848 Numbers k such that 13*k = A048720(m, k) for some m, where A048720 is carryless base-2 multiplication.

0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 21, 24, 30, 31, 32, 33, 34, 40, 42, 45, 47, 48, 60, 61, 62, 63, 64, 65, 66, 68, 80, 84, 85, 90, 94, 95, 96, 120, 122, 124, 125, 126, 127, 128, 129, 130, 132, 136, 160, 165, 168, 170, 173, 175, 180, 181, 188, 189, 190, 191, 192, 195, 240, 244, 245, 248, 250, 252, 253

Offset

1,3

Comments

If n is a term, then 2*n is also a term, and vice versa. See A391849 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(13*k, k) = m for some m > 0}.

Prog

(PARI) is_A391848(k) = (!k || (0==lift(Pol(binary(13*k)*Mod(1, 2)) % Pol(binary(k))*Mod(1, 2))));

Crossrefs

Cf. A048720, A280500.

Row 13 of A391925.

Subsequences: A048718 (m=13), A115772 (m=21), A115805 (m=29), A391849 (odd terms).

Cf. also A391585, A391740, A391742, A391744, A391846, A391850.

Sequence in context: A182418 A204580 A347831 * A391850 A331206 A295298

Adjacent sequences: A391845 A391846 A391847 * A391849 A391850 A391851

Keyword

nonn,base

Author

Antti Karttunen, Dec 21 2025

Status

approved