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A302071 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 1
8, 128, 884, 7070, 54177, 420121, 3247765, 25151723, 194858064, 1509933667, 11700696791, 90670424899, 702618377845, 5444692727615, 42191725016453, 326949892917866, 2533582903716510, 19633107331640883, 152139842374919901 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A302069.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -7*a(n-2) -29*a(n-3) +72*a(n-4) -52*a(n-5) -176*a(n-6) +353*a(n-7) -344*a(n-8) -507*a(n-9) +1488*a(n-10) -860*a(n-11) -872*a(n-12) +6458*a(n-13) +967*a(n-14) -10158*a(n-15) +2015*a(n-16) +9555*a(n-17) -22359*a(n-18) -15321*a(n-19) +31037*a(n-20) +1946*a(n-21) -35762*a(n-22) +6984*a(n-23) +54512*a(n-24) -8022*a(n-25) -4993*a(n-26) +14111*a(n-27) +19649*a(n-28) -10813*a(n-29) -13238*a(n-30) +10142*a(n-31) -41279*a(n-32) +14522*a(n-33) -20026*a(n-34) -4521*a(n-35) -2506*a(n-36) +13706*a(n-37) -2834*a(n-38) +7163*a(n-39) +1796*a(n-40) +817*a(n-41) -1442*a(n-42) +116*a(n-43) -719*a(n-44) -133*a(n-45) +120*a(n-46) -123*a(n-47) -23*a(n-48) -a(n-49) -7*a(n-50) -20*a(n-51) +10*a(n-52) +8*a(n-53) for n>58

EXAMPLE

Some solutions for n=5

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

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

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

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

CROSSREFS

Cf. A302069.

Sequence in context: A301844 A302268 A302967 * A301822 A302810 A061549

Adjacent sequences:  A302068 A302069 A302070 * A302072 A302073 A302074

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 31 2018

STATUS

approved

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Last modified January 22 02:46 EST 2022. Contains 350481 sequences. (Running on oeis4.)