%I
%S 11,17,22,31,43,60,80,100,120,140,160,180,200,220,240,260,280,300,320,
%T 340,360,380,400,420,440,460,480,500,520,540,560,580,600,620,640,660,
%U 680,700,720,740,760,780,800,820,840,860,880,900,920,940,960,980,1000,1020
%N Number of nondecreasing arrangements of n+2 numbers in 0..7 with the last equal to 7 and each after the second equal to the sum of one or two of the preceding three.
%C Column 7 of A190041.
%H R. H. Hardin, <a href="/A190039/b190039.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 20*n  60 for n>5.
%F Conjectures from _Colin Barker_, May 04 2018: (Start)
%F G.f.: x*(11  5*x  x^2 + 4*x^3 + 3*x^4 + 5*x^5 + 3*x^6) / (1  x)^2.
%F a(n) = 2*a(n1)  a(n2) for n>7.
%F (End)
%e Some solutions for n=3:
%e 3 1 1 6 7 2 1 1 2 0 2 1 1 2 5 3
%e 4 6 3 7 7 3 3 3 5 7 5 6 2 7 7 4
%e 7 7 4 7 7 5 4 4 7 7 5 6 3 7 7 4
%e 7 7 5 7 7 7 4 7 7 7 7 7 4 7 7 7
%e 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
%Y Cf. A190041.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 04 2011
