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A189329 Number of nondecreasing arrangements of 6 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding four 1

%I

%S 2,10,16,32,33,64,51,95,76,122,91,166,102,185,141,214,137,272,155,277,

%T 201,304,191,380,199,366,272,396,237,480,253,462,335,483,286,593,299,

%U 545,403,584,335,684,353,648,465,660,388,808,395,726,531,767,435,896,456,826

%N Number of nondecreasing arrangements of 6 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding four

%C Row 4 of A189326

%H R. H. Hardin, <a href="/A189329/b189329.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = -4*a(n-1) -11*a(n-2) -24*a(n-3) -45*a(n-4) -74*a(n-5) -110*a(n-6) -149*a(n-7) -185*a(n-8) -210*a(n-9) -216*a(n-10) -196*a(n-11) -146*a(n-12) -67*a(n-13) +35*a(n-14) +149*a(n-15) +261*a(n-16) +355*a(n-17) +418*a(n-18) +440*a(n-19) +418*a(n-20) +355*a(n-21) +261*a(n-22) +149*a(n-23) +35*a(n-24) -67*a(n-25) -146*a(n-26) -196*a(n-27) -216*a(n-28) -210*a(n-29) -185*a(n-30) -149*a(n-31) -110*a(n-32) -74*a(n-33) -45*a(n-34) -24*a(n-35) -11*a(n-36) -4*a(n-37) -a(n-38)

%e All solutions for n=3

%e ..1....0....1....0....1....2....0....1....1....1....1....0....1....1....1....3

%e ..2....1....2....3....3....3....1....1....1....1....2....1....1....1....1....3

%e ..2....1....3....3....3....3....1....2....2....1....2....1....1....1....2....3

%e ..3....2....3....3....3....3....2....2....3....1....2....1....2....2....2....3

%e ..3....3....3....3....3....3....2....2....3....2....3....2....3....2....3....3

%e ..3....3....3....3....3....3....3....3....3....3....3....3....3....3....3....3

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 20 2011

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Last modified February 8 16:04 EST 2023. Contains 360149 sequences. (Running on oeis4.)