A299077 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.

8, 121, 927, 8245, 74329, 664377, 5966905, 53667656, 482603686, 4340430649, 39040203717, 351150199077, 3158465607310, 28409347903144, 255532834427292, 2298435315054163, 20673687740237324, 185953195378108520

Offset

1,1

Comments

Column 4 of A299081.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +37*a(n-3) -292*a(n-4) -375*a(n-5) -491*a(n-6) +1814*a(n-7) +3581*a(n-8) +3193*a(n-9) -3202*a(n-10) -11261*a(n-11) -6211*a(n-12) -1851*a(n-13) +14158*a(n-14) -1752*a(n-15) +10727*a(n-16) -10489*a(n-17) +10142*a(n-18) -13135*a(n-19) +8571*a(n-20) -4435*a(n-21) +6805*a(n-22) -3831*a(n-23) +947*a(n-24) -578*a(n-25) +842*a(n-26) -308*a(n-27) +40*a(n-28) -154*a(n-29) +40*a(n-30) for n>31

Example

Some solutions for n=5
..0..0..0..0. .0..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..1
..1..0..0..1. .0..1..1..1. .0..1..1..1. .0..0..0..0. .1..0..1..0
..0..0..0..0. .0..1..1..1. .0..1..1..1. .1..1..1..1. .1..0..0..0
..0..0..0..0. .0..1..0..1. .0..1..0..1. .0..1..1..0. .1..0..0..0
..1..0..0..1. .0..0..1..1. .1..0..0..1. .1..1..1..1. .1..0..1..0

Crossrefs

Cf. A299081.

Sequence in context: A000848 A214426 A281833 * A298997 A299664 A243942

Adjacent sequences: A299074 A299075 A299076 * A299078 A299079 A299080

Keyword

nonn

Author

R. H. Hardin, Feb 02 2018

Status

approved