A391849 Odd numbers k such that 13*k = A048720(m, k) for some m, where A048720 is carryless base-2 multiplication.

1, 3, 5, 15, 17, 21, 31, 33, 45, 47, 61, 63, 65, 85, 95, 125, 127, 129, 165, 173, 175, 181, 189, 191, 195, 245, 253, 255, 257, 273, 341, 351, 381, 383, 387, 501, 509, 511, 513, 529, 545, 645, 661, 677, 685, 687, 693, 701, 703, 725, 757, 765, 767, 771, 981, 1013, 1021, 1023, 1025, 1041, 1057, 1089, 1285, 1295, 1325

Offset

1,2

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

{Odd k such that A280500(13*k, k) = m for some m > 0}.

Prog

(PARI) is_A391849(k) = ((k%2) && (0==lift(Pol(binary(13*k)*Mod(1, 2)) % Pol(binary(k))*Mod(1, 2))));

Crossrefs

Row 13 of A391725. Odd terms of A391848.

Cf. A048720, A280500.

Cf. also A391584, A391741, A391743, A391745, A391847, A391851.

Sequence in context: A089168 A103127 A103192 * A391851 A097856 A071593

Adjacent sequences: A391846 A391847 A391848 * A391850 A391851 A391852

Keyword

nonn,base

Author

Antti Karttunen, Dec 21 2025

Status

approved