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A303960 Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 5 king-move adjacent elements, with upper left element zero. 1
64, 101, 287, 1228, 4137, 14067, 44492, 156214, 557417, 1956218, 6716752, 23210871, 80897656, 281932195, 978681468, 3396019112, 11800948010, 41025631794, 142545985576, 495166288609, 1720385595787, 5978000554312, 20771145428919 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A303961.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +3*a(n-2) -a(n-3) +54*a(n-4) -31*a(n-5) -144*a(n-6) +35*a(n-7) -813*a(n-8) -336*a(n-9) +1948*a(n-10) -89*a(n-11) +4981*a(n-12) +6346*a(n-13) -10465*a(n-14) -1365*a(n-15) -17101*a(n-16) -28747*a(n-17) +33964*a(n-18) +6171*a(n-19) +37222*a(n-20) +65450*a(n-21) -82755*a(n-22) -9369*a(n-23) -54184*a(n-24) -97384*a(n-25) +146075*a(n-26) +5835*a(n-27) +41942*a(n-28) +109069*a(n-29) -171895*a(n-30) +4637*a(n-31) +1503*a(n-32) -97777*a(n-33) +135404*a(n-34) -14249*a(n-35) -41817*a(n-36) +73067*a(n-37) -72230*a(n-38) +12733*a(n-39) +52991*a(n-40) -45651*a(n-41) +24273*a(n-42) -3249*a(n-43) -39566*a(n-44) +23014*a(n-45) -3059*a(n-46) -2660*a(n-47) +19158*a(n-48) -9245*a(n-49) -1114*a(n-50) +3031*a(n-51) -6015*a(n-52) +3188*a(n-53) +557*a(n-54) -1449*a(n-55) +1283*a(n-56) -802*a(n-57) -43*a(n-58) +318*a(n-59) -216*a(n-60) +110*a(n-61) -12*a(n-62) -24*a(n-63) +24*a(n-64) -6*a(n-65) for n>71

EXAMPLE

Some solutions for n=5

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

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

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

..0..0..0..0..0..0..0. .0..0..0..0..0..0..0. .0..0..0..0..0..0..0

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

CROSSREFS

Cf. A303961.

Sequence in context: A061099 A118488 A088033 * A304603 A305339 A304925

Adjacent sequences:  A303957 A303958 A303959 * A303961 A303962 A303963

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 03 2018

STATUS

approved

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Last modified January 28 23:12 EST 2022. Contains 350670 sequences. (Running on oeis4.)