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A241110 Number of nX4 0..2 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..2 introduced in row major order 1
14, 953, 60340, 3829419, 242964166, 15415566961, 978087593971, 62057748267728, 3937442921908646, 249823063157133762, 15850785425018320234, 1005701376869763009802, 63809788115736016913149 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A241114

LINKS

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

FORMULA

Empirical: a(n) = 60*a(n-1) +225*a(n-2) -387*a(n-3) -1087*a(n-4) +35073*a(n-5) +80687*a(n-6) -962910*a(n-7) -1462448*a(n-8) +9919819*a(n-9) -5432573*a(n-10) -78281518*a(n-11) +112876482*a(n-12) +405993061*a(n-13) -606856750*a(n-14) -1205871424*a(n-15) +2092511320*a(n-16) +2607903212*a(n-17) -2370445443*a(n-18) +2625438137*a(n-19) -4322952344*a(n-20) -23251814293*a(n-21) +81148142*a(n-22) +8345223032*a(n-23) +3986585248*a(n-24) +24600616208*a(n-25) +3668273392*a(n-26) -4567140352*a(n-27) +10017487680*a(n-28) -5292830464*a(n-29) -10715690752*a(n-30) +2043761920*a(n-31) -497378816*a(n-32) -7310107648*a(n-33) -1714114560*a(n-34) +897372160*a(n-35) +209145856*a(n-36) +820805632*a(n-37) +440958976*a(n-38) +5898240*a(n-39) +16515072*a(n-40) -4718592*a(n-41) -6291456*a(n-42) for n>43

EXAMPLE

Some solutions for n=3

..0..1..2..2....0..1..0..0....0..1..1..2....0..1..2..0....0..0..1..0

..0..0..2..2....2..2..1..1....1..1..0..1....1..1..0..0....2..2..0..0

..1..2..1..0....0..1..2..0....1..2..1..0....0..2..0..2....0..0..2..1

CROSSREFS

Sequence in context: A241801 A337576 A199651 * A055152 A171183 A064729

Adjacent sequences:  A241107 A241108 A241109 * A241111 A241112 A241113

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 16 2014

STATUS

approved

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Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)