A281951 Number of n X 4 0..1 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

8, 112, 587, 3389, 19089, 111354, 640778, 3716432, 21502354, 124531091, 721152740, 4176107752, 24184974414, 140057032575, 811098268642, 4697197830808, 27202297829372, 157533202227607, 912302039312046, 5283299749392401

Offset

1,1

Comments

Column 4 of A281955.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +14*a(n-2) -45*a(n-3) -87*a(n-4) +179*a(n-5) +51*a(n-6) -197*a(n-7) +424*a(n-8) -224*a(n-9) -890*a(n-10) +887*a(n-11) +660*a(n-12) -788*a(n-13) -418*a(n-14) +178*a(n-15) +92*a(n-16) -27*a(n-17) +60*a(n-18) +69*a(n-19) +95*a(n-20) -a(n-21) -5*a(n-22) -45*a(n-23) -10*a(n-24) -9*a(n-25) -6*a(n-26) +3*a(n-28) for n > 32.

Example

Some solutions for n=4
..0..1..0..1. .0..0..1..1. .0..1..1..1. .0..1..1..1. .0..1..1..1
..1..0..0..1. .0..1..1..1. .0..0..0..1. .0..1..1..1. .1..0..0..0
..0..0..0..1. .0..1..1..1. .1..0..0..0. .0..0..1..1. .1..0..0..0
..0..0..0..0. .0..0..1..1. .0..1..1..0. .0..0..1..1. .1..0..1..1

Crossrefs

Cf. A281955.

Sequence in context: A364983 A239754 A003721 * A316179 A305765 A317114

Adjacent sequences: A281948 A281949 A281950 * A281952 A281953 A281954

Keyword

nonn

Author

R. H. Hardin, Feb 03 2017

Status

approved