A231759 - OEIS

A231759

Number of (n+1)X(3+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one

100, 625, 5041, 40000, 303601, 2353156, 18318400, 141681409, 1096603225, 8501393209, 65862549769, 510117350625, 3952044600625, 30617619155761, 237184671441601, 1837438830737449, 14234617914330724, 110274092537986624

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OFFSET

1,1

COMMENTS

Column 3 of A231764

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +12*a(n-2) +149*a(n-3) +34*a(n-4) -745*a(n-5) -4377*a(n-6) -1298*a(n-7) +13107*a(n-8) +52121*a(n-9) +8083*a(n-10) -86996*a(n-11) -321488*a(n-12) -28134*a(n-13) +269200*a(n-14) +1028451*a(n-15) +72948*a(n-16) -507872*a(n-17) -2031587*a(n-18) -253166*a(n-19) +609639*a(n-20) +2548479*a(n-21) +414970*a(n-22) -482501*a(n-23) -2033465*a(n-24) -288069*a(n-25) +243904*a(n-26) +1017882*a(n-27) +103832*a(n-28) -88438*a(n-29) -327567*a(n-30) -19692*a(n-31) +23162*a(n-32) +69365*a(n-33) +1980*a(n-34) -4140*a(n-35) -9617*a(n-36) -152*a(n-37) +478*a(n-38) +849*a(n-39) +16*a(n-40) -33*a(n-41) -44*a(n-42) -a(n-43) +a(n-44) +a(n-45)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A172518 A357748 A357747 * A231046 A250707 A250708

Adjacent sequences: A231756 A231757 A231758 * A231760 A231761 A231762

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 13 2013

STATUS

approved