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A123298 Number of incongruent restricted disjoint covering systems (IRDCS) of length n. 0

%I #15 Sep 04 2023 11:33:35

%S 0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,6,18,14,26,84,88,46,176,380,812,

%T 844,1770,2164,5554,9244,25384,62092,68176,85762,304892,855072,

%U 1229050,1805096

%N Number of incongruent restricted disjoint covering systems (IRDCS) of length n.

%C An IRDCS of length n is a sequence of n integers s(1),...,s(n) with the property that if s(i)=m for some m then the other terms of the sequence with value m are precisely s(i+k*m) for all k such that i+k*m is in [1,n] and further such that any integer appearing in the sequence appears at least twice. For example, the two IRDCS of length n are 6,9,3,4,5,3,6,4,3,5,9 and its reverse.

%D Gerry Myerson, Jacky Poon and Jamie Simpson, Incongruent restricted disjoint covering systems, preprint.

%K nice,nonn

%O 1,11

%A _Jamie Simpson_, Jun 25 2007, corrected Sep 11 2007

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)