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A297640 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 3 neighboring 1s. 1
16, 51, 494, 2370, 17305, 108928, 771393, 5215899, 36981502, 260922198, 1863864716, 13321572177, 95727990305, 688646063679, 4962710930660, 35790554013951, 258321620332407, 1865150201855887, 13471152197883439 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A297637.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) +10*a(n-2) -74*a(n-3) -77*a(n-4) -2069*a(n-5) +872*a(n-6) +22145*a(n-7) +19296*a(n-8) +62010*a(n-9) -111396*a(n-10) -727873*a(n-11) -472090*a(n-12) -1716838*a(n-13) -237257*a(n-14) +7631522*a(n-15) -382735*a(n-16) +2520162*a(n-17) +16496024*a(n-18) -13267732*a(n-19) -8719118*a(n-20) +32536928*a(n-21) +25930938*a(n-22) -4198258*a(n-23) +22374409*a(n-24) +42681455*a(n-25) -2164735*a(n-26) +2249015*a(n-27) -3323819*a(n-28) +26340202*a(n-29) +53485853*a(n-30) +31454620*a(n-31) +17145746*a(n-32) -3303429*a(n-33) -2548163*a(n-34) +6094772*a(n-35) +1501887*a(n-36) -1082820*a(n-37) -22048*a(n-38) +20370*a(n-39) -22464*a(n-40)

EXAMPLE

Some solutions for n=6

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

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

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

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

CROSSREFS

Cf. A297637.

Sequence in context: A080860 A204716 A192248 * A236523 A235660 A044118

Adjacent sequences:  A297637 A297638 A297639 * A297641 A297642 A297643

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 02 2018

STATUS

approved

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Last modified January 20 21:46 EST 2022. Contains 350472 sequences. (Running on oeis4.)