A230916 Number of 3 X n 0..7 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 8, and upper left element zero.

0, 0, 0, 8, 164, 1650, 17694, 200654, 2327434, 27027518, 312558570, 3608384550, 41652636232, 480912262700, 5553151914970, 64123837102928, 740447098174482, 8549981982002574, 98726958313716584, 1140004569675468580

Offset

1,4

Comments

Row 3 of A230915.

Links

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

Formula

Empirical: a(n) = 41*a(n-1) -734*a(n-2) +7657*a(n-3) -51438*a(n-4) +227423*a(n-5) -629332*a(n-6) +896043*a(n-7) -428605*a(n-8) +4213840*a(n-9) -31520317*a(n-10) +84242147*a(n-11) -58566557*a(n-12) -90193432*a(n-13) -590267025*a(n-14) +4931827523*a(n-15) -15254103485*a(n-16) +26175634648*a(n-17) -21458265709*a(n-18) -7574174643*a(n-19) +36107960817*a(n-20) -40291478136*a(n-21) +54223853855*a(n-22) -72013417335*a(n-23) -229144068*a(n-24) +69108492967*a(n-25) +672217909*a(n-26) +29945305820*a(n-27) -96354292899*a(n-28) -80661354807*a(n-29) +26474436759*a(n-30) +87240214744*a(n-31) +102119913670*a(n-32) +56097938072*a(n-33) -33643883964*a(n-34) -16213629332*a(n-35) -76889595708*a(n-36) -118542253456*a(n-37) -199731981112*a(n-38) -227670680592*a(n-39) -198661146992*a(n-40) -131097587072*a(n-41) -64095745824*a(n-42) -19314114944*a(n-43) -7490048*a(n-44) +3357267968*a(n-45) +2452342272*a(n-46) +860892160*a(n-47) +143020032*a(n-48) -24281088*a(n-49) for n>52.

Example

Some solutions for n=4
..0..1..2..3....0..1..2..1....0..1..0..7....0..1..4..5....0..1..2..1
..0..1..4..5....2..3..0..7....2..3..6..5....2..3..6..7....0..3..0..7
..0..7..6..5....4..5..6..5....4..5..4..3....2..1..0..7....4..5..6..5

Crossrefs

Cf. A230915.

Sequence in context: A299075 A299840 A353777 * A221078 A205577 A220915

Adjacent sequences: A230913 A230914 A230915 * A230917 A230918 A230919

Keyword

nonn

Author

R. H. Hardin, Nov 01 2013

Status

approved