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.

64, 101, 287, 1228, 4137, 14067, 44492, 156214, 557417, 1956218, 6716752, 23210871, 80897656, 281932195, 978681468, 3396019112, 11800948010, 41025631794, 142545985576, 495166288609, 1720385595787, 5978000554312, 20771145428919

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