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A302214 Number of 4Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 3, 47, 7, 111, 80, 424, 1157, 2922, 12816, 33744, 135689, 427777, 1511455, 5237154, 17740921, 62498339, 212645123, 742064542, 2553096441, 8837428284, 30568037684, 105553660977, 365371090457, 1262061403870, 4365797662037, 15090331846613 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A302212.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +28*a(n-2) -75*a(n-3) -398*a(n-4) +944*a(n-5) +3671*a(n-6) -7801*a(n-7) -24404*a(n-8) +47157*a(n-9) +124314*a(n-10) -221250*a(n-11) -505072*a(n-12) +836021*a(n-13) +1682425*a(n-14) -2608659*a(n-15) -4685786*a(n-16) +6844286*a(n-17) +11070045*a(n-18) -15306994*a(n-19) -22430872*a(n-20) +29493917*a(n-21) +39338431*a(n-22) -49375246*a(n-23) -60198503*a(n-24) +72293436*a(n-25) +81026935*a(n-26) -93046725*a(n-27) -96757097*a(n-28) +105632449*a(n-29) +103479364*a(n-30) -105909396*a(n-31) -100071471*a(n-32) +93611720*a(n-33) +88175650*a(n-34) -72499336*a(n-35) -70968961*a(n-36) +48606972*a(n-37) +51927035*a(n-38) -27622887*a(n-39) -34122752*a(n-40) +12814022*a(n-41) +19781216*a(n-42) -4480833*a(n-43) -9897585*a(n-44) +908537*a(n-45) +4168950*a(n-46) +107884*a(n-47) -1437073*a(n-48) -181920*a(n-49) +392409*a(n-50) +83213*a(n-51) -81617*a(n-52) -23241*a(n-53) +12292*a(n-54) +4271*a(n-55) -1246*a(n-56) -502*a(n-57) +75*a(n-58) +34*a(n-59) -2*a(n-60) -a(n-61) for n>62

EXAMPLE

Some solutions for n=5

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

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

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

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

CROSSREFS

Cf. A302212.

Sequence in context: A004734 A287645 A182054 * A049074 A286034 A256046

Adjacent sequences:  A302211 A302212 A302213 * A302215 A302216 A302217

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 03 2018

STATUS

approved

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Last modified December 1 16:29 EST 2021. Contains 349430 sequences. (Running on oeis4.)