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A189324 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 four. 1

%I #8 May 02 2018 09:22:51

%S 11,17,31,51,91,157,253,374,509,649,789,929,1069,1209,1349,1489,1629,

%T 1769,1909,2049,2189,2329,2469,2609,2749,2889,3029,3169,3309,3449,

%U 3589,3729,3869,4009,4149,4289,4429,4569,4709,4849,4989,5129,5269,5409,5549

%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 four.

%C Column 7 of A189326.

%H R. H. Hardin, <a href="/A189324/b189324.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 140*n - 751 for n>8.

%F Empirical g.f.: x*(11 - 5*x + 8*x^2 + 6*x^3 + 20*x^4 + 26*x^5 + 30*x^6 + 25*x^7 + 14*x^8 + 5*x^9) / (1 - x)^2. - _Colin Barker_, May 02 2018

%e Some solutions for n=3:

%e ..1....7....2....2....1....3....3....1....1....3....1....1....1....4....1....1

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

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

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

%e ..7....7....7....7....7....7....7....7....7....7....7....7....7....7....7....7

%Y Cf. A189326.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 20 2011

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)