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A230916 Number of 3Xn 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 1
0, 0, 0, 8, 164, 1650, 17694, 200654, 2327434, 27027518, 312558570, 3608384550, 41652636232, 480912262700, 5553151914970, 64123837102928, 740447098174482, 8549981982002574, 98726958313716584, 1140004569675468580 (list; graph; refs; listen; history; text; internal format)
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

Sequence in context: A281830 A299075 A299840 * A221078 A205577 A220915

Adjacent sequences:  A230913 A230914 A230915 * A230917 A230918 A230919

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 01 2013

STATUS

approved

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Last modified December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)