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A253734 Number of (n+2)X(2+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically 1
720, 1888, 4100, 9876, 25012, 60296, 148328, 369360, 917504, 2284292, 5685480, 14168096, 35364992, 88266608, 220224348, 549719568, 1372906300, 3428376580, 8559482304, 21374102868, 53382093000, 133313369596, 332909642184 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A253740

LINKS

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

FORMULA

Empirical: a(n) = 11*a(n-3) +24*a(n-4) +17*a(n-5) -21*a(n-6) -193*a(n-7) -221*a(n-8) -167*a(n-9) +437*a(n-10) +997*a(n-11) +983*a(n-12) +100*a(n-13) -2223*a(n-14) -2468*a(n-15) -1870*a(n-16) +2408*a(n-17) +3395*a(n-18) +3858*a(n-19) -1780*a(n-20) -3730*a(n-21) -1293*a(n-22) +978*a(n-23) +8179*a(n-24) -4880*a(n-25) -4479*a(n-26) -13933*a(n-27) -3879*a(n-28) +14170*a(n-29) +16050*a(n-30) +15183*a(n-31) -5070*a(n-32) -14961*a(n-33) -14077*a(n-34) -2352*a(n-35) +6581*a(n-36) +12047*a(n-37) -2573*a(n-38) -7587*a(n-39) -6031*a(n-40) +1173*a(n-41) +2563*a(n-42) +7812*a(n-43) +393*a(n-44) -5243*a(n-45) -1567*a(n-46) +1375*a(n-47) +598*a(n-48) +1763*a(n-49) +251*a(n-50) -874*a(n-51) -214*a(n-52) -164*a(n-53) +56*a(n-54) +8*a(n-55) for n>60

EXAMPLE

Some solutions for n=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A291804 A131663 A090392 * A112530 A052800 A321842

Adjacent sequences:  A253731 A253732 A253733 * A253735 A253736 A253737

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 11 2015

STATUS

approved

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Last modified October 20 02:21 EDT 2021. Contains 348099 sequences. (Running on oeis4.)