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A299524 Number of nX4 0..1 arrays with every element equal to 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1
1, 16, 12, 166, 537, 2573, 16538, 83533, 420801, 2412733, 12975515, 68321766, 376287484, 2042163601, 10949762356, 59563103680, 323175890698, 1744473182106, 9456860848043, 51262356984369, 277339276333524, 1502217683264205 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A299528.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +6*a(n-2) +85*a(n-3) -308*a(n-4) -556*a(n-5) -2039*a(n-6) +8843*a(n-7) +12024*a(n-8) +17861*a(n-9) -101643*a(n-10) -117910*a(n-11) +20768*a(n-12) +467084*a(n-13) +219710*a(n-14) -596837*a(n-15) -274594*a(n-16) +2569583*a(n-17) +862440*a(n-18) -8787502*a(n-19) -6703808*a(n-20) +11888135*a(n-21) +14350201*a(n-22) -10727892*a(n-23) -4048480*a(n-24) +17735232*a(n-25) +378931*a(n-26) -61474291*a(n-27) -1822713*a(n-28) +69458328*a(n-29) +64624442*a(n-30) -100064304*a(n-31) -92228173*a(n-32) +93263599*a(n-33) +111255163*a(n-34) -34509077*a(n-35) -139754553*a(n-36) +20038295*a(n-37) +75556687*a(n-38) -8174840*a(n-39) -19932098*a(n-40) +9495345*a(n-41) +786307*a(n-42) -6111053*a(n-43) -70336*a(n-44) +1689102*a(n-45) +210409*a(n-46) -72486*a(n-47) -14748*a(n-48) -16400*a(n-49) -1098*a(n-50) +36*a(n-51) -40*a(n-52) +40*a(n-53) for n>56

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299528.

Sequence in context: A070551 A028493 A291426 * A070534 A269299 A070577

Adjacent sequences:  A299521 A299522 A299523 * A299525 A299526 A299527

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 11 2018

STATUS

approved

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Last modified August 22 20:38 EDT 2019. Contains 326186 sequences. (Running on oeis4.)