A186123 Number of (n+1)X5 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum.

50, 254, 946, 4254, 17794, 79782, 350266, 1574348, 7039308, 31791832, 143422488, 649853710, 2944761666, 13369773598, 60719993934, 276010194872, 1254976548136, 5708622661652, 25972110429080, 118188673239130, 537890728864526

Offset: 1

Author

R. H. Hardin Feb 13 2011

Keywords

• nonn

Comments

Column 4 of A186128

Examples

			Some solutions for 3X5
..0..0..1..1..0....0..0..0..1..1....1..1..0..0..1....1..0..0..1..1
..1..0..0..1..1....1..1..1..1..1....0..1..1..1..1....0..0..0..1..1
..0..0..1..1..0....1..1..1..0..0....0..1..1..1..0....0..1..1..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=13*a(n-1)-27*a(n-2)-313*a(n-3)+1360*a(n-4)+2960*a(n-5)-21942*a(n-6)-11823*a(n-7)+207082*a(n-8)-8597*a(n-9)-1365516*a(n-10)+273265*a(n-11)+6957547*a(n-12)-661483*a(n-13)-29271261*a(n-14)-5183365*a(n-15)[phone]*a(n-16)[phone]*a(n-17)-322792246*a(n-18)-264403445*a(n-19)[phone]*a(n-20)[phone]*a(n-21)-1771318700*a(n-22)-2500483447*a(n-23)[phone]*a(n-24)[phone]*a(n-25)-3928025864*a(n-26)-11068642898*a(n-27)[phone]*a(n-28)[phone]*a(n-29)-720507050*a(n-30)-27075919990*a(n-31)-4150074641*a(n-32)[phone]*a(n-33)[phone]*a(n-34)-36002318878*a(n-35)-14320175787*a(n-36)[phone]*a(n-37)[phone]*a(n-38)-27614165654*a(n-39)-13198975601*a(n-40)[phone]*a(n-41)[phone]*a(n-42)-14234922396*a(n-43)[phone]*a(n-44)[phone]*a(n-45)-10132487225*a(n-46)-7385233165*a(n-47)[phone]*a(n-48)[phone]*a(n-49)-17486996880*a(n-50)-9135579843*a(n-51)[phone]*a(n-52)[phone]*a(n-53)-9093755033*a(n-54)-11423688533*a(n-55)[phone]*a(n-56)[phone]*a(n-57)[phone]*a(n-58)-3957191684*a(n-59)-2063583521*a(n-60)[phone]*a(n-61)[phone]*a(n-62)-212076992*a(n-63)-490905835*a(n-64)-65556295*a(n-65)[phone]*a(n-66)[phone]*a(n-67)[phone]*a(n-68)-76189430*a(n-69)-70949032*a(n-70)[phone]*a(n-71)[phone]*a(n-72)-17536162*a(n-73)-25550856*a(n-74)+4728478*a(n-75)[phone]*a(n-76)+2272908*a(n-77)-5218884*a(n-78)-2862290*a(n-79)+658554*a(n-80)+1147760*a(n-81)+206358*a(n-82)-177984*a(n-83)-90256*a(n-84)+4684*a(n-85)+11996*a(n-86)+200*a(n-87)-464*a(n-88)-96*a(n-89)+128*a(n-90) for n>92