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A302816 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 52, 220, 1494, 9050, 51476, 317216, 1927184, 11448173, 69437015, 420077495, 2524870148, 15256502166, 92149840338, 555558632280, 3353951180376, 20247214339311, 122165463939008, 737365570767880, 4450613461508152 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A302820.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +5*a(n-2) +103*a(n-3) -472*a(n-4) -610*a(n-5) -2942*a(n-6) +13393*a(n-7) +22816*a(n-8) +28876*a(n-9) -141328*a(n-10) -330217*a(n-11) -66329*a(n-12) +377837*a(n-13) +1715614*a(n-14) -104581*a(n-15) +1536966*a(n-16) +94707*a(n-17) -1090428*a(n-18) -3432836*a(n-19) -11886952*a(n-20) -1508464*a(n-21) -14901268*a(n-22) +5677017*a(n-23) +10105176*a(n-24) +488958*a(n-25) +8686347*a(n-26) -515880*a(n-27) +32921724*a(n-28) -16944996*a(n-29) +8021194*a(n-30) -9073688*a(n-31) -9801184*a(n-32) +1534061*a(n-33) +4632827*a(n-34) +9839496*a(n-35) -13588411*a(n-36) +104477*a(n-37) -2495477*a(n-38) +6200005*a(n-39) -2301638*a(n-40) +161554*a(n-41) -470448*a(n-42) +560428*a(n-43) -87808*a(n-44) -103968*a(n-45) +28864*a(n-46) +5888*a(n-47) -2560*a(n-48) +256*a(n-49) for n>51

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A302820.

Sequence in context: A035288 A303012 A024179 * A026963 A026973 A244718

Adjacent sequences:  A302813 A302814 A302815 * A302817 A302818 A302819

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 13 2018

STATUS

approved

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Last modified June 15 22:19 EDT 2019. Contains 324145 sequences. (Running on oeis4.)