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A115869 Smallest 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. +0
6
0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 7, 0, 5, 6, 0, 0, 0, 0, 15, 0, 13, 14, 15, 0, 9, 10, 15, 12, 13, 0, 11, 0, 0, 0, 31, 0, 29, 30, 35, 0, 25, 26, 27, 28, 0, 30, 23, 0, 17, 18, 0, 20, 45, 30, 19, 24, 25, 26, 23, 0, 21, 22, 27, 0, 0, 0, 63, 0, 61, 62, 63, 0, 57, 58, 59, 60, 61, 70, 55, 0 (list; graph; listen)
OFFSET

1,7

COMMENT

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

LINKS

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

CROSSREFS

a(2n) = 2*a(n). Bisection A115870 gives the terms at odd positions. Differs from A115859 for the first time at n=23, where a(23)=15, while A115859(23)=19. Cf. A115857, A115861, A115871.

Sequence in context: A081805 A084681 A096528 this_sequence A115859 A129170 A057389

Adjacent sequences: A115866 A115867 A115868 this_sequence A115870 A115871 A115872

KEYWORD

nonn

AUTHOR

Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 07 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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