login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A280477
Number of nX5 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1
6, 162, 4070, 100306, 2272190, 48481917, 990070284, 19550495121, 375972018492, 7077631558153, 130917736928836, 2386330581933385, 42958320934899628, 765084427823374321, 13499826227679683140, 236266604028642547153
OFFSET
1,1
COMMENTS
Column 5 of A280480.
LINKS
FORMULA
Empirical: a(n) = 97*a(n-1) -4351*a(n-2) +121477*a(n-3) -2399467*a(n-4) +36095593*a(n-5) -433751083*a(n-6) +4302824137*a(n-7) -36076741489*a(n-8) +260138945879*a(n-9) -1634410671437*a(n-10) +9036893350991*a(n-11) -44309716396137*a(n-12) +193798299192867*a(n-13) -759477171357849*a(n-14) +2675750789380099*a(n-15) -8495505866629978*a(n-16) +24347110001605948*a(n-17) -63040884009250736*a(n-18) +147519026920434464*a(n-19) -311897862888302240*a(n-20) +595345640987912896*a(n-21) -1024570940182920832*a(n-22) +1586788825852708096*a(n-23) -2206161690108318720*a(n-24) +2745071246419141632*a(n-25) -3045090489874046976*a(n-26) +2997217488412983296*a(n-27) -2602330276143177728*a(n-28) +1978627665127817216*a(n-29) -1305371480738463744*a(n-30) +738536355420831744*a(n-31) -352875159682940928*a(n-32) +139495141359484928*a(n-33) -44338619623669760*a(n-34) +10867575344857088*a(n-35) -1922382801403904*a(n-36) +217608813019136*a(n-37) -11785390260224*a(n-38) for n>39
EXAMPLE
Some solutions for n=4
..0..0..1..1..1. .0..0..0..0..1. .0..0..1..0..0. .0..0..1..1..1
..2..1..0..0..1. .0..0..0..1..1. .2..2..0..0..1. .0..1..1..1..0
..1..0..0..1..2. .0..0..2..1..2. .2..0..0..1..1. .0..0..0..0..0
..1..1..1..2..2. .1..1..1..1..1. .1..1..1..1..1. .1..0..0..2..2
CROSSREFS
Cf. A280480.
Sequence in context: A332116 A015086 A052466 * A362732 A078535 A177781
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 04 2017
STATUS
approved