A302079 Number of n X 6 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

13, 74, 433, 2838, 18492, 124046, 829709, 5574946, 37461858, 251879708, 1693814632, 11390940149, 76609712977, 515232165768, 3465247836652, 23305635363566, 156744565619698, 1054196485023005, 7090104602323370

Offset

1,1

Comments

Column 6 of A302081.

Links

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

Formula

Empirical: a(n) = a(n-1) +72*a(n-2) -13*a(n-3) -1869*a(n-4) -227*a(n-5) +24406*a(n-6) +6089*a(n-7) -183074*a(n-8) -51341*a(n-9) +843604*a(n-10) +203171*a(n-11) -2493360*a(n-12) -379486*a(n-13) +4846450*a(n-14) +288330*a(n-15) -6222905*a(n-16) +32522*a(n-17) +5347282*a(n-18) -289982*a(n-19) -3397328*a(n-20) +144099*a(n-21) +1440692*a(n-22) -38125*a(n-23) -412290*a(n-24) +3241*a(n-25) +67830*a(n-26) +125*a(n-27) -5261*a(n-28) -13*a(n-29) +136*a(n-30) +a(n-31) -a(n-32) for n>33.

Example

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

Crossrefs

Cf. A302081.

Sequence in context: A139070 A094421 A301882 * A103968 A073544 A051361

Adjacent sequences: A302076 A302077 A302078 * A302080 A302081 A302082

Keyword

nonn

Author

R. H. Hardin, Mar 31 2018

Status

approved