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A115859 Largest natural number m < n, such that there exists nonzero solutions to a cross-domain congruence m*i = n X i, zero if no such integer exists. 5
0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 7, 0, 5, 6, 0, 0, 0, 0, 15, 0, 13, 14, 19, 0, 9, 10, 15, 12, 21, 0, 27, 0, 0, 0, 31, 0, 29, 30, 35, 0, 25, 26, 27, 28, 0, 38, 27, 0, 17, 18, 0, 20, 45, 30, 51, 24, 25, 42, 55, 0, 45, 54, 59, 0, 0, 0, 63, 0, 61, 62, 67, 0, 57, 58, 71, 60, 69, 70, 63, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Here * stands for ordinary multiplication and X means carryless (GF(2)[X]) multiplication (A048720).

LINKS

Table of n, a(n) for n=1..80.

Index entries for sequences defined by congruent products between domains N and GF(2)[X]

CROSSREFS

a(2n) = 2*a(n). Bisection A115860 gives the terms at odd positions. Differs from A115869 for the first time at n=23, where a(23)=19, while A115869(23)=15. Cf. A115857, A115861, A115871.

Sequence in context: A299163 A160086 A115869 * A241663 A129170 A209436

Adjacent sequences:  A115856 A115857 A115858 * A115860 A115861 A115862

KEYWORD

nonn

AUTHOR

Antti Karttunen, Feb 07 2006

STATUS

approved

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Last modified March 19 13:25 EDT 2019. Contains 321330 sequences. (Running on oeis4.)