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A200469 T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its four previous neighbors modulo (k+1).

%I A200469 #7 Jun 02 2025 07:18:47
%S A200469 2,3,3,4,6,5,5,10,12,8,6,15,26,24,13,7,21,45,69,48,20,8,28,75,135,181,
%T A200469 98,29,9,36,112,267,405,455,199,43,10,45,164,448,951,1213,1120,400,63,
%U A200469 11,55,225,750,1792,3328,3627,2794,800,91,12,66,305,1125,3434,7140,11576,10846
%N A200469 T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its four previous neighbors modulo (k+1).
%C A200469 Table starts
%C A200469 ..2....3.....4.....5......6.......7.......8........9.......10........11
%C A200469 ..3....6....10....15.....21......28......36.......45.......55........66
%C A200469 ..5...12....26....45.....75.....112.....164......225......305.......396
%C A200469 ..8...24....69...135....267.....448.....750.....1125.....1690......2376
%C A200469 .13...48...181...405....951....1792....3434.....5625.....9365.....14256
%C A200469 .20...98...455..1213...3328....7140...15446....28023....51356.....85228
%C A200469 .29..199..1120..3627..11576...28434...69136...139566...281169....509465
%C A200469 .43..400..2794.10846..40309..113193..309748...694953..1539522...3044998
%C A200469 .63..800..6955.32429.140298..450812.1386973..3460458..8429124..18199720
%C A200469 .91.1597.17254.96970.487872.1795581.6207948.17231016.46144179.108782707
%H A200469 R. H. Hardin, <a href="/A200469/b200469.txt">Table of n, a(n) for n = 1..684</a>
%e A200469 Some solutions for n=7 k=6
%e A200469 ..1....0....0....3....3....0....3....0....3....3....1....1....2....4....2....4
%e A200469 ..6....1....5....4....4....1....3....2....4....4....6....6....5....6....2....6
%e A200469 ..2....6....5....5....2....2....6....5....2....2....3....1....2....4....4....5
%e A200469 ..2....3....3....5....6....4....5....3....6....6....4....3....2....2....4....2
%e A200469 ..5....4....6....3....5....0....5....4....1....1....4....6....6....2....5....5
%e A200469 ..5....3....5....3....4....6....6....5....6....6....3....5....4....0....6....5
%e A200469 ..1....2....6....3....4....5....3....5....3....6....1....4....3....1....6....5
%Y A200469 Row 2 is A000217(n+1)
%Y A200469 Row 3 is A200252
%Y A200469 Row 4 is A200253
%Y A200469 Row 5 is A200254
%K A200469 nonn,tabl
%O A200469 1,1
%A A200469 _R. H. Hardin_ Nov 18 2011