A230572 Number of 3Xn 0..4 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero

0, 0, 0, 2, 60, 868, 9088, 94014, 952214, 9576232, 95959204, 960268542, 9603585810, 96019822428, 959931905582, 9596196300556, 95928783074542, 958947698251704, 9586040720227362, 95825901621540374, 957913418736911646

Offset

1,4

Comments

Row 3 of A230571

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 22*a(n-1) -162*a(n-2) +409*a(n-3) +388*a(n-4) -3015*a(n-5) +2506*a(n-6) -4076*a(n-7) +7976*a(n-8) +140644*a(n-9) -458654*a(n-10) +278989*a(n-11) +360330*a(n-12) -2153395*a(n-13) +8750440*a(n-14) -14307500*a(n-15) +16123328*a(n-16) +1546948*a(n-17) -97073348*a(n-18) +53638575*a(n-19) +153498981*a(n-20) +158024605*a(n-21) +52294199*a(n-22) -499772093*a(n-23) -921700782*a(n-24) -723232664*a(n-25) +243012309*a(n-26) +1919263278*a(n-27) +3510301720*a(n-28) +4169769770*a(n-29) +3563068834*a(n-30) +1865152198*a(n-31) -205837046*a(n-32) -1847181580*a(n-33) -2630123573*a(n-34) -2533979654*a(n-35) -1882609987*a(n-36) -1099365213*a(n-37) -478202667*a(n-38) -112824444*a(n-39) +28205889*a(n-40) +42838166*a(n-41) +22770714*a(n-42) +2642564*a(n-43) -5698328*a(n-44) -4688168*a(n-45) -2142624*a(n-46) -800160*a(n-47) -56448*a(n-48) for n>51

Example

Some solutions for n=5
..0..1..2..3..2....0..1..0..4..3....0..1..2..3..4....0..1..4..0..1
..0..1..4..0..1....2..3..1..2..1....0..4..1..0..4....2..3..2..2..3
..0..4..3..2..1....4..0..1..0..4....3..2..4..3..2....2..1..0..4..3

Crossrefs

Sequence in context: A059934 A006333 A001760 * A157059 A272980 A222652

Adjacent sequences: A230569 A230570 A230571 * A230573 A230574 A230575

Keyword

nonn

Author

R. H. Hardin, Oct 23 2013

Status

approved