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 A250637 Number of (5+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction 1

%I #4 Nov 26 2014 10:49:47

%S 2856,20743,134878,747039,3719562,17202711,75537881,319253573,

%T 1310889946,5265378033,20784710664,80962828536,312026929609,

%U 1192861371366,4530539131712,17123596908104,64464780855588,241988292316472

%N Number of (5+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

%C Row 5 of A250632

%H R. H. Hardin, <a href="/A250637/b250637.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 20*a(n-1) -142*a(n-2) +208*a(n-3) +2725*a(n-4) -15261*a(n-5) +8294*a(n-6) +172548*a(n-7) -521171*a(n-8) -395240*a(n-9) +4773332*a(n-10) -5923544*a(n-11) -17684878*a(n-12) +55922728*a(n-13) +996884*a(n-14) -217723306*a(n-15) +252927943*a(n-16) +384433618*a(n-17) -1078638107*a(n-18) +110644587*a(n-19) +2220540447*a(n-20) -2100319081*a(n-21) -2131014704*a(n-22) +4834767824*a(n-23) -525198323*a(n-24) -5572935189*a(n-25) +4122094724*a(n-26) +2960973976*a(n-27) -5263643960*a(n-28) +529467255*a(n-29) +3343709842*a(n-30) -1909188069*a(n-31) -942962634*a(n-32) +1297322988*a(n-33) -116323104*a(n-34) -429249290*a(n-35) +183224257*a(n-36) +60177703*a(n-37) -61346606*a(n-38) +4409663*a(n-39) +9604059*a(n-40) -2885635*a(n-41) -571361*a(n-42) +407795*a(n-43) -25859*a(n-44) -22758*a(n-45) +4716*a(n-46) +224*a(n-47) -149*a(n-48) +12*a(n-49) for n>54

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014

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Last modified August 12 15:11 EDT 2024. Contains 375113 sequences. (Running on oeis4.)