A283576 Number of 5Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

0, 256, 6453, 60802, 945100, 10919674, 129527524, 1518039552, 17162725531, 193879598458, 2157351957174, 23818259818860, 261203745411854, 2845597456824844, 30846423421417897, 332823725660697214

Offset: 1

Author

R. H. Hardin, Mar 11 2017

Keywords

• nonn

Comments

Row 5 of A283572.

Examples

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

Links

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

Crossrefs

Cf. A283572.

Formula

Empirical: a(n) = 8*a(n-1) +68*a(n-2) +60*a(n-3) -3476*a(n-4) -14270*a(n-5) -44938*a(n-6) -22046*a(n-7) -330622*a(n-8) +510556*a(n-9) -2390879*a(n-10) [phone]*a(n-11) -33356941*a(n-12) [phone]*a(n-13) -275521313*a(n-14) [phone]*a(n-15) -1806543117*a(n-16) [phone]*a(n-17) -6762740424*a(n-18) [phone]*a(n-19) -8972101747*a(n-20) [phone]*a(n-21) [phone]*a(n-22) -4653650006*a(n-23) [phone]*a(n-24) -6499265632*a(n-25) -1325270370*a(n-26) [phone]*a(n-27) -6037898483*a(n-28) [phone]*a(n-29) [phone]*a(n-30) [phone]*a(n-31) [phone]*a(n-32) -1535246836*a(n-33) -69578999*a(n-34) [phone]*a(n-35) -1021093565*a(n-36) -36310362*a(n-37) +1083010*a(n-38) +1959144*a(n-39) +32639*a(n-40) -1740*a(n-41) -900*a(n-42)