A115803 - OEIS

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A115803

Numbers k such that 11*k = A048720(31,k), where A048720 is carryless base-2 multiplication.

6

0, 3, 6, 12, 15, 24, 27, 30, 31, 48, 51, 54, 60, 62, 63, 96, 102, 108, 120, 124, 126, 127, 192, 195, 204, 207, 216, 219, 240, 243, 248, 252, 254, 255, 384, 387, 390, 403, 408, 411, 414, 415, 432, 435, 438, 480, 486, 496, 499, 504, 508, 510, 511, 768, 771, 774, 780, 783, 806, 816, 819, 822, 828, 830, 831, 864, 870

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OFFSET

1,2

COMMENTS

If n is a term, then 2*n is also a term, and vice versa.

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.

PROG

(PARI)

A048720(b, c) = fromdigits(Vec(Pol(binary(b))*Pol(binary(c)))%2, 2);

is_A115803(k) = (11*k == A048720(31, k)); \\ Antti Karttunen, Dec 21 2025

CROSSREFS

Subsequence of A391846.

Cf. A048720, A115804 (terms shown in binary), A115805 (conjectured subsequence).

Sequence in context: A114614 A016052 A323649 * A290258 A277335 A390294

Adjacent sequences: A115800 A115801 A115802 * A115804 A115805 A115806

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Feb 01 2006

EXTENSIONS

Offset corrected, more terms added and name edited by Antti Karttunen, Dec 21 2025

STATUS

approved