A391847 Odd numbers k such that 11*k = A048720(m, k) for some m, where A048720 is carryless base-2 multiplication.

1, 3, 15, 17, 27, 31, 33, 51, 63, 65, 127, 129, 195, 207, 219, 243, 255, 257, 273, 387, 403, 411, 415, 435, 499, 511, 513, 529, 545, 771, 783, 819, 831, 963, 975, 1011, 1023, 1025, 1041, 1057, 1089, 1539, 1551, 1563, 1567, 1615, 1663, 1731, 1743, 1755, 1923, 1939, 1947, 1951, 1987, 1999, 2035, 2047, 2049, 2065, 2081

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(11*k, k) = m for some m > 0}.

Prog

(PARI) is_A391847(k) = ((k%2) && (0==lift(Pol(binary(11*k)*Mod(1, 2)) % Pol(binary(k))*Mod(1, 2))));

Crossrefs

Row 11 of A391725. Odd terms of A391846.

Cf. A048720, A280500.

Cf. also A391584, A391741, A391743, A391745, A391849, A391851.

Sequence in context: A323033 A365371 A080705 * A032921 A163785 A080793

Adjacent sequences: A391844 A391845 A391846 * A391848 A391849 A391850

Keyword

nonn,base

Author

Antti Karttunen, Dec 21 2025

Status

approved