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A318544 Number of nX7 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
21, 26, 107, 516, 2349, 10496, 46165, 208159, 942764, 4213744, 18870716, 84794983, 380556843, 1707239770, 7660779072, 34376713801, 154258564357, 692193258418, 3106040446532, 13937625995076, 62541652378393, 280640300310752 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A318545.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +46*a(n-3) +50*a(n-4) +275*a(n-5) -43*a(n-6) +362*a(n-7) -1637*a(n-8) -271*a(n-9) -3396*a(n-10) +3146*a(n-11) +3432*a(n-12) +6889*a(n-13) +7881*a(n-14) -20207*a(n-15) -21749*a(n-16) +31606*a(n-17) -30087*a(n-18) -43803*a(n-19) +168405*a(n-20) +76348*a(n-21) -293820*a(n-22) -123142*a(n-23) +290600*a(n-24) +147574*a(n-25) -215762*a(n-26) -149500*a(n-27) +261780*a(n-28) +316118*a(n-29) -671671*a(n-30) -764286*a(n-31) +1504462*a(n-32) +1206660*a(n-33) -2414304*a(n-34) -1168911*a(n-35) +2765306*a(n-36) +641957*a(n-37) -2226787*a(n-38) -174104*a(n-39) +1245814*a(n-40) +84501*a(n-41) -498990*a(n-42) -153476*a(n-43) +165047*a(n-44) +149749*a(n-45) -57567*a(n-46) -84000*a(n-47) +18254*a(n-48) +31251*a(n-49) -1064*a(n-50) -8936*a(n-51) -2803*a(n-52) +2260*a(n-53) +1619*a(n-54) -469*a(n-55) -485*a(n-56) +34*a(n-57) +95*a(n-58) +23*a(n-59) -11*a(n-60) -8*a(n-61) +a(n-63) for n>64

EXAMPLE

Some solutions for n=5

..0..1..0..0..0..0..0. .0..0..0..0..0..0..0. .0..1..0..0..1..0..0

..0..0..0..0..0..1..0. .0..0..0..0..0..1..0. .0..0..0..0..0..0..0

..0..0..0..0..0..0..0. .0..0..1..0..0..0..0. .0..0..0..0..0..0..0

..0..0..1..0..0..0..0. .0..0..0..0..0..0..1. .1..0..0..0..1..0..0

..0..0..0..0..0..0..0. .0..0..0..1..0..0..0. .0..0..0..0..0..0..0

CROSSREFS

Cf. A318545.

Sequence in context: A035700 A134935 A299594 * A173836 A064507 A249729

Adjacent sequences:  A318541 A318542 A318543 * A318545 A318546 A318547

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 28 2018

STATUS

approved

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Last modified April 5 00:43 EDT 2020. Contains 333238 sequences. (Running on oeis4.)