cp's OEIS Frontend

A240406 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

%I A240406 #6 Jun 02 2025 09:55:13
%S A240406 1,2,2,3,5,3,4,14,14,4,7,24,77,24,7,10,77,235,235,77,10,15,182,1381,
%T A240406 1304,1381,182,15,24,397,5566,13648,13648,5566,397,24,35,1164,21413,
%U A240406 98837,257243,98837,21413,1164,35,54,2626,114951,692520,3366314,3366314,692520
%N A240406 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.
%C A240406 Table starts
%C A240406 ..1....2.......3.........4............7............10............15
%C A240406 ..2....5......14........24...........77...........182...........397
%C A240406 ..3...14......77.......235.........1381..........5566.........21413
%C A240406 ..4...24.....235......1304........13648.........98837........692520
%C A240406 ..7...77....1381.....13648.......257243.......3366314......43820839
%C A240406 .10..182....5566.....98837......3366314......80283637....1935005419
%C A240406 .15..397...21413....692520.....43820839....1935005419...85908009949
%C A240406 .24.1164..114951...6686074....766539340...62076655091.5128168982319
%C A240406 .35.2626..447479..47001423...9754760605.1450984782112
%C A240406 .54.6439.1942846.368795251.139442821024
%H A240406 R. H. Hardin, <a href="/A240406/b240406.txt">Table of n, a(n) for n = 1..112</a>
%F A240406 Empirical for column k:
%F A240406 k=1: a(n) = a(n-2) +2*a(n-3)
%F A240406 k=2: [order 15]
%e A240406 Some solutions for n=4 k=4
%e A240406 ..2..1..1..2....2..2..2..2....2..1..2..1....2..2..2..1....2..2..2..1
%e A240406 ..3..1..3..3....3..3..0..0....3..3..0..1....3..3..0..1....3..3..0..1
%e A240406 ..2..0..0..1....2..2..0..0....2..2..0..0....2..2..2..0....2..2..0..0
%e A240406 ..3..3..2..2....3..1..0..2....3..3..0..0....3..3..0..0....3..1..0..3
%Y A240406 Column 1 is A159288
%K A240406 nonn,tabl
%O A240406 1,2
%A A240406 _R. H. Hardin_, Apr 04 2014