A266030 - OEIS

%I #4 Dec 20 2015 07:41:52

%S 26,2142,121029,8260441,576560236,40462691139,2834665076351,

%T 198722506983924,13929598180007373,976418236686388550,

%U 68443900306049584801,4797695497529322904934,336303125797650695641868

%N Number of nX5 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself.

%C Column 5 of A266033.

%H R. H. Hardin, <a href="/A266030/b266030.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 26*a(n-1) +2439*a(n-2) +49416*a(n-3) -56167*a(n-4) -12649985*a(n-5) -127610243*a(n-6) +667897799*a(n-7) +14596925971*a(n-8) +33175084480*a(n-9) -622627842689*a(n-10) -217195915228*a(n-11) -2797597679206*a(n-12) +39118892418779*a(n-13) +50905609612027*a(n-14) -223731092142109*a(n-15) -943228345506447*a(n-16) -2054167951865433*a(n-17) +21282243234939385*a(n-18) -10649947128316544*a(n-19) -79484203512254836*a(n-20) +100613962106551044*a(n-21) -60877871917934596*a(n-22) +30591659976484817*a(n-23) +715440011414385224*a(n-24) -982519160665696098*a(n-25) -863137229202711903*a(n-26) +603829772239372805*a(n-27) +423245298865067004*a(n-28) +198899214180023454*a(n-29) -25064940299641188*a(n-30) -49293088357372860*a(n-31) -26977701415236048*a(n-32) -7991248478568952*a(n-33) -1502841310744896*a(n-34) -158446757036256*a(n-35) -2356900848128*a(n-36) +81293593088*a(n-37) +14417416192*a(n-38) for n>41

%e Some solutions for n=3

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

%e ..1..0..3..4..0....2..0..1..1..2....0..0..3..3..0....1..3..3..0..1

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

%Y Cf. A266033.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2015