cp's OEIS Frontend

A241255 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

%I A241255 #6 Jun 02 2025 10:02:25
%S A241255 2,3,2,4,5,4,7,4,17,6,10,10,13,39,8,15,12,34,47,87,14,24,22,71,120,
%T A241255 174,212,20,35,41,135,446,545,606,488,30,54,59,356,1202,3404,2570,
%U A241255 2111,1134,48,83,120,734,3822,11700,25190,13328,6647,2644,70,124,171,1705,11428
%N A241255 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.
%C A241255 Table starts
%C A241255 ..2....3.....4.......7........10.........15.........24.........35.........54
%C A241255 ..2....5.....4......10........12.........22.........41.........59........120
%C A241255 ..4...17....13......34........71........135........356........734.......1705
%C A241255 ..6...39....47.....120.......446.......1202.......3822......11428......35540
%C A241255 ..8...87...174.....545......3404......11700......50281.....252069.....959723
%C A241255 .14..212...606....2570.....25190.....124372.....752717....6264519...34987493
%C A241255 .20..488..2111...13328....225191....1558957...13138271..205823368.1596727720
%C A241255 .30.1134..6647...70264...2057343...22016913..265444281.8317272277
%C A241255 .48.2644.21752..390840..20539926..362503120.6509404451
%C A241255 .70.6118.70595.2166393.204332167.6317232175
%H A241255 R. H. Hardin, <a href="/A241255/b241255.txt">Table of n, a(n) for n = 1..127</a>
%F A241255 Empirical for column k:
%F A241255 k=1: a(n) = a(n-2) +2*a(n-3)
%F A241255 k=2: [order 34] for n>37
%F A241255 Empirical for row n:
%F A241255 n=1: a(n) = a(n-2) +2*a(n-3)
%F A241255 n=2: [order 10] for n>12
%F A241255 n=3: [order 52] for n>59
%e A241255 Some solutions for n=4 k=4
%e A241255 ..2..2..3..3....2..2..3..2....2..2..3..3....3..3..2..3....3..3..2..2
%e A241255 ..0..0..2..1....3..1..0..3....0..0..2..1....2..1..1..2....2..1..3..1
%e A241255 ..0..0..0..3....2..1..1..2....0..3..2..3....2..2..0..2....0..2..2..2
%e A241255 ..0..0..0..2....2..2..3..2....3..2..1..2....0..0..0..2....2..0..0..2
%Y A241255 Column 1 is A239851
%Y A241255 Row 1 is A159288(n+1)
%K A241255 nonn,tabl
%O A241255 1,1
%A A241255 _R. H. Hardin_, Apr 18 2014