A283516 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A283516

Number of nX2 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements.

0, 0, 1, 5, 28, 145, 703, 3288, 14980, 66958, 294864, 1283142, 5529698, 23637592, 100350059, 423511851, 1778210188, 7432635711, 30943479193, 128365649488, 530810149910, 2188638842860, 9000532494016, 36925016172060, 151153394192532

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

COMMENTS

Column 2 of A283522.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -18*a(n-2) -24*a(n-3) +39*a(n-4) +75*a(n-5) +69*a(n-6) +93*a(n-7) +99*a(n-8) +67*a(n-9) +45*a(n-10) +33*a(n-11) +16*a(n-12) +6*a(n-13) +3*a(n-14) +a(n-15)

EXAMPLE

All solutions for n=4

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

..1..1. .1..1. .1..1. .1..1. .1..1

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

CROSSREFS

Cf. A283522.

Sequence in context: A037682 A271686 A272288 * A126699 A267828 A164537

Adjacent sequences: A283513 A283514 A283515 * A283517 A283518 A283519

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 09 2017

STATUS

approved