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Number of nondecreasing sequences of 3 1..n integers with no element dividing the sequence sum.
2

%I #6 Apr 09 2023 23:02:42

%S 0,0,1,3,9,16,29,43,64,92,127,168,219,281,355,435,531,638,762,901,

%T 1057,1230,1420,1628,1858,2107,2380,2674,2992,3338,3707,4099,4524,

%U 4976,5465,5975,6516,7092,7704,8348,9025,9744,10495,11289,12125,12994,13907,14859

%N Number of nondecreasing sequences of 3 1..n integers with no element dividing the sequence sum.

%C Row 3 of A212868.

%H R. H. Hardin, <a href="/A212870/b212870.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=8

%e ..3....5....3....2....6....2....6....7....3....3....2....4....3....6....3....5

%e ..7....7....5....5....7....2....6....8....5....3....3....7....4....6....3....8

%e ..7....7....5....6....7....7....8....8....6....4....8....7....4....7....8....8

%Y Cf. A212868.

%K nonn

%O 1,4

%A _R. H. Hardin_, May 29 2012