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A186832 Number of (n+2)X3 binary arrays with 3X3 subblock sums nondecreasing rightwards and downwards. 1
512, 2688, 14112, 74088, 324576, 1421952, 6229504, 24748736, 98322424, 390617891, 1462011696, 5472043776, 20480864256, 73689191424, 265130263296, 953926283584, 3338160566528, 11681527346176, 40878225723392, 140146288207104 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A186840
LINKS
FORMULA
Empirical: a(n)=8*a(n-1)-22*a(n-2)+128*a(n-3)-841*a(n-4)+2288*a(n-5)-6994*a(n-6)+36920*a(n-7)-98956*a(n-8)+214920*a(n-9)-896226*a(n-10)+2353296*a(n-11)-4131639*a(n-12)+13477968*a(n-13)-34416954*a(n-14)+52411320*a(n-15)-133004079*a(n-16)+327042144*a(n-17)-450989532*a(n-18)+887520240*a(n-19)-2072758248*a(n-20)+2662560720*a(n-21)-4058905788*a(n-22)+8830137888*a(n-23)-10773330399*a(n-24)+12735950760*a(n-25)-25089959466*a(n-26)+29476316016*a(n-27)-27107683479*a(n-28)+46319925168*a(n-29)-52921249074*a(n-30)+38072433240*a(n-31)-52589275596*a(n-32)+58862405160*a(n-33)-33452085186*a(n-34)+32830299216*a(n-35)-36202292361*a(n-36)+16529940864*a(n-37)-8523250758*a(n-38)+9298091736*a(n-39)-3486784401*a(n-40)
EXAMPLE
Some solutions for 4X3
..0..1..0....0..1..1....1..0..0....0..0..0....1..0..0....0..0..0....1..1..0
..1..1..1....1..0..1....0..0..1....0..0..0....1..1..0....1..0..1....0..1..1
..1..0..0....1..0..1....1..1..0....1..1..1....0..1..1....0..1..0....0..1..1
..0..1..1....1..0..1....0..1..0....1..1..1....0..1..0....1..0..1....1..0..1
CROSSREFS
Sequence in context: A254991 A186840 A224643 * A254553 A254483 A254476
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 27 2011
STATUS
approved

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Last modified July 22 10:40 EDT 2024. Contains 374490 sequences. (Running on oeis4.)