A279712 Number of 5Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

16, 34, 161, 717, 3245, 14988, 70220, 329692, 1554991, 7348544, 34783369, 164707073, 780082143, 3694519412, 17497209152, 82864915694, 392436915282, 1858523413836, 8801702771851, 41683674474943, 197408500938927

Offset

1,1

Comments

Row 5 of A279709.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -111*a(n-2) +440*a(n-3) -1045*a(n-4) +1204*a(n-5) +873*a(n-6) -5800*a(n-7) +8588*a(n-8) -892*a(n-9) -11828*a(n-10) -4978*a(n-11) +89393*a(n-12) -217044*a(n-13) +273217*a(n-14) -116888*a(n-15) -321350*a(n-16) +1016314*a(n-17) -1839287*a(n-18) +2439426*a(n-19) -2180856*a(n-20) +689764*a(n-21) +1139306*a(n-22) -1972152*a(n-23) +2117801*a(n-24) -3180750*a(n-25) +4464553*a(n-26) -4044600*a(n-27) +2270050*a(n-28) -1710650*a(n-29) +1984966*a(n-30) +176262*a(n-31) -3820242*a(n-32) +7377536*a(n-33) -6522367*a(n-34) +440320*a(n-35) -672576*a(n-36) +3135532*a(n-37) +5641800*a(n-38) +295226*a(n-39) +2804244*a(n-40) -1864066*a(n-41) -3970234*a(n-42) -4508950*a(n-43) -2225885*a(n-44) -158472*a(n-45) +552222*a(n-46) +1205102*a(n-47) +844822*a(n-48) +418724*a(n-49) +98418*a(n-50) -29748*a(n-51) -45061*a(n-52) -38454*a(n-53) -16390*a(n-54) -4870*a(n-55) -572*a(n-56) for n>64

Example

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

Crossrefs

Cf. A279709.

Sequence in context: A203446 A153819 A185459 * A228800 A230943 A070589

Adjacent sequences: A279709 A279710 A279711 * A279713 A279714 A279715

Keyword

nonn

Author

R. H. Hardin, Dec 17 2016

Status

approved