A299810 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

5, 16, 43, 476, 1739, 11312, 80892, 470799, 3083661, 20441853, 129705810, 846082271, 5516053068, 35644544701, 231838924028, 1506661578035, 9774545836954, 63508853941590, 412500480519040, 2678412377254500

Offset

1,1

Comments

Column 4 of A299814.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +13*a(n-2) +79*a(n-3) -549*a(n-4) -1020*a(n-5) -882*a(n-6) +17817*a(n-7) +27700*a(n-8) -19490*a(n-9) -264340*a(n-10) -322630*a(n-11) +472723*a(n-12) +1963312*a(n-13) +1333212*a(n-14) -3519587*a(n-15) -6443361*a(n-16) +2208258*a(n-17) +11069242*a(n-18) +305910*a(n-19) -29809544*a(n-20) -17229251*a(n-21) +38574947*a(n-22) +87533209*a(n-23) +54484975*a(n-24) -46921341*a(n-25) -205273859*a(n-26) -175667195*a(n-27) +47801906*a(n-28) +325040193*a(n-29) +247467356*a(n-30) -252589269*a(n-31) -350766568*a(n-32) +243750062*a(n-33) +549095804*a(n-34) -184561005*a(n-35) -729728947*a(n-36) -245111315*a(n-37) +462632765*a(n-38) +340098086*a(n-39) -62096681*a(n-40) -67235019*a(n-41) +21455997*a(n-42) -23916654*a(n-43) -63200362*a(n-44) +2533614*a(n-45) +26889033*a(n-46) +4712257*a(n-47) -2194853*a(n-48) -633138*a(n-49) -172846*a(n-50) -250120*a(n-51) -112688*a(n-52) +27608*a(n-53) +22016*a(n-54) +2560*a(n-55) for n>58

Example

Some solutions for n=5
..0..0..0..1. .0..0..0..0. .0..1..0..0. .0..0..0..0. .0..1..0..1
..0..0..0..1. .0..0..0..0. .1..0..0..0. .0..0..0..0. .1..0..0..0
..0..0..0..0. .0..0..0..0. .1..1..1..1. .0..0..0..0. .0..0..0..0
..1..1..1..0. .0..0..0..0. .1..1..1..1. .0..1..1..0. .1..0..0..0
..1..1..0..1. .1..0..1..1. .1..1..1..1. .0..1..1..0. .1..0..0..0

Crossrefs

Cf. A299814.

Sequence in context: A137221 A137234 A271359 * A079094 A144952 A053220

Adjacent sequences: A299807 A299808 A299809 * A299811 A299812 A299813

Keyword

nonn

Author

R. H. Hardin, Feb 19 2018

Status

approved