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A224407 Number of n X 6 0..1 arrays with rows unimodal and antidiagonals nondecreasing. 1

%I #7 Aug 30 2018 06:10:31

%S 22,169,879,3902,16420,68282,284254,1187830,4979464,20913026,87905004,

%T 369597368,1554028138,6533901986,27470619810,115492192540,

%U 485546657850,2041301158120,8581884687952,36079321433650,151682073514422

%N Number of n X 6 0..1 arrays with rows unimodal and antidiagonals nondecreasing.

%C Column 6 of A224409.

%H R. H. Hardin, <a href="/A224407/b224407.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -14*a(n-2) +9*a(n-3) +4*a(n-5) +16*a(n-6) for n>7.

%F Empirical g.f.: x*(22 + 15*x + 4*x^2 - 83*x^3 - 109*x^4 - 29*x^5 + 14*x^6) / (1 - 7*x + 14*x^2 - 9*x^3 - 4*x^5 - 16*x^6). - _Colin Barker_, Aug 30 2018

%e Some solutions for n=3:

%e ..0..0..0..0..0..0....0..0..0..0..0..1....1..0..0..0..0..0....0..0..0..1..0..0

%e ..0..0..0..0..1..0....0..0..0..1..1..1....0..1..1..1..0..0....0..0..1..1..0..0

%e ..0..0..1..1..1..0....0..1..1..1..1..0....1..1..1..0..0..0....1..1..1..0..0..0

%Y Cf. A224409.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 05 2013

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)