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A298450 Number of nX4 0..1 arrays with every element equal to 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 1
1, 16, 11, 161, 478, 2459, 15248, 78163, 390424, 2230213, 11957077, 62686390, 343644381, 1857612208, 9915556165, 53695082023, 290087274436, 1558866184902, 8413068514505, 45404547945468, 244554296256136, 1318757750900979 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A298454.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +9*a(n-2) +89*a(n-3) -204*a(n-4) -742*a(n-5) -2336*a(n-6) +5414*a(n-7) +16164*a(n-8) +22227*a(n-9) -51019*a(n-10) -155268*a(n-11) -9076*a(n-12) +216908*a(n-13) +348123*a(n-14) -565918*a(n-15) -423553*a(n-16) +2275697*a(n-17) +3018514*a(n-18) -4744310*a(n-19) -10714755*a(n-20) +1120597*a(n-21) +12707044*a(n-22) +14767028*a(n-23) -6781707*a(n-24) -13692035*a(n-25) -12330114*a(n-26) -4671661*a(n-27) +21721296*a(n-28) +14985223*a(n-29) +2432193*a(n-30) -25320474*a(n-31) -22704558*a(n-32) +17445078*a(n-33) +34393194*a(n-34) +3452869*a(n-35) -42645667*a(n-36) +551512*a(n-37) +18308956*a(n-38) -481318*a(n-39) -3378385*a(n-40) +2303479*a(n-41) +23871*a(n-42) -1901808*a(n-43) -170904*a(n-44) +588909*a(n-45) +106391*a(n-46) -40247*a(n-47) -13426*a(n-48) -10996*a(n-49) -462*a(n-50) +308*a(n-51) -40*a(n-52) +40*a(n-53) for n>56

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298454.

Sequence in context: A217157 A070578 A225842 * A028695 A008665 A076823

Adjacent sequences:  A298447 A298448 A298449 * A298451 A298452 A298453

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 19 2018

STATUS

approved

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Last modified November 28 20:58 EST 2021. Contains 349415 sequences. (Running on oeis4.)