A281767 - OEIS

A281767

Number of 3Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 10, 47, 152, 609, 2138, 7466, 25798, 87397, 293470, 979311, 3235714, 10650401, 34842532, 113507950, 368400482, 1191351902, 3841448788, 12352142633, 39620840414, 126807886700, 405026431154, 1291283976919, 4109819232304

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OFFSET

1,2

COMMENTS

Row 3 of A281765.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +7*a(n-2) -80*a(n-3) -60*a(n-4) +610*a(n-5) +488*a(n-6) -2954*a(n-7) -2778*a(n-8) +9782*a(n-9) +10423*a(n-10) -24116*a(n-11) -27411*a(n-12) +46820*a(n-13) +54750*a(n-14) -74006*a(n-15) -87429*a(n-16) +97522*a(n-17) +114272*a(n-18) -108436*a(n-19) -124098*a(n-20) +102206*a(n-21) +112813*a(n-22) -81722*a(n-23) -85782*a(n-24) +55064*a(n-25) +54233*a(n-26) -30842*a(n-27) -28193*a(n-28) +14078*a(n-29) +11842*a(n-30) -5088*a(n-31) -3915*a(n-32) +1398*a(n-33) +977*a(n-34) -274*a(n-35) -172*a(n-36) +34*a(n-37) +19*a(n-38) -2*a(n-39) -a(n-40) for n>41

EXAMPLE

Some solutions for n=4

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

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

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

CROSSREFS

Cf. A281765.

Sequence in context: A242462 A253477 A143895 * A323799 A213575 A319491

Adjacent sequences: A281764 A281765 A281766 * A281768 A281769 A281770

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 29 2017

STATUS

approved