A391846 Numbers k such that 11*k = A048720(m, k) for some m, where A048720 is carryless base-2 multiplication.

0, 1, 2, 3, 4, 6, 8, 12, 15, 16, 17, 24, 27, 30, 31, 32, 33, 34, 48, 51, 54, 60, 62, 63, 64, 65, 66, 68, 96, 102, 108, 120, 124, 126, 127, 128, 129, 130, 132, 136, 192, 195, 204, 207, 216, 219, 240, 243, 248, 252, 254, 255, 256, 257, 258, 260, 264, 272, 273, 384, 387, 390, 403, 408, 411, 414, 415, 432, 435, 438

Offset

1,3

Comments

If n is a term, then 2*n is also a term, and vice versa. See A391847 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(11*k, k) = m for some m > 0}.

Prog

(PARI) is_A391846(k) = (!k || (0==lift(Pol(binary(11*k)*Mod(1, 2)) % Pol(binary(k))*Mod(1, 2))));

Crossrefs

Cf. A048720, A280500.

Row 11 of A391925.

Subsequences: A048718 (m=11), A115803 (m=31), A391847 (odd terms).

Cf. also A391585, A391740, A391742, A391744, A391848, A391850, A391852, A391854, A391856, A391858, A391860.

Sequence in context: A215966 A114312 A095041 * A331088 A336506 A336508

Adjacent sequences: A391843 A391844 A391845 * A391847 A391848 A391849

Keyword

nonn,base

Author

Antti Karttunen, Dec 21 2025

Status

approved