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”).

A202417
Number of (n+2)X6 binary arrays with no more than one of any consecutive three bits set in any row or column
1
739, 5167, 37029, 259651, 1823347, 12853815, 90488829, 636713695, 4482191171, 31552566393, 222091707777, 1563301187969, 11004262988247, 77459398723649, 545238701722185, 3837961695887271, 27015585227632543, 190163795686945801
OFFSET
1,1
COMMENTS
Column 4 of A202421
LINKS
FORMULA
Empirical: a(n) = a(n-1) +15*a(n-2) +163*a(n-3) +435*a(n-4) -312*a(n-5) -6058*a(n-6) -20551*a(n-7) -10846*a(n-8) +129529*a(n-9) +382414*a(n-10) +214587*a(n-11) -1252567*a(n-12) -3718269*a(n-13) -2774661*a(n-14) +7541788*a(n-15) +20442871*a(n-16) +15190133*a(n-17) -16329959*a(n-18) -59139819*a(n-19) -73602496*a(n-20) -10192761*a(n-21) +98952469*a(n-22) +167803153*a(n-23) +149515753*a(n-24) -7453678*a(n-25) -215498436*a(n-26) -282603533*a(n-27) -222705450*a(n-28) -24104176*a(n-29) +248207971*a(n-30) +302814223*a(n-31) +242555242*a(n-32) +89632215*a(n-33) -138303598*a(n-34) -194727635*a(n-35) -160749598*a(n-36) -108454542*a(n-37) +27857814*a(n-38) +55543779*a(n-39) +55776272*a(n-40) +56989956*a(n-41) -63166*a(n-42) +4750982*a(n-43) -12142956*a(n-44) -8474055*a(n-45) -1877613*a(n-46) -2528704*a(n-47) +1168456*a(n-48) +249876*a(n-49) +279332*a(n-50) +195827*a(n-51) -50365*a(n-52) +16393*a(n-53) -15338*a(n-54) -3822*a(n-55) +812*a(n-56) -678*a(n-57) +307*a(n-58) +2*a(n-59) -2*a(n-60) +4*a(n-61) -a(n-62)
EXAMPLE
Some solutions for n=3
..0..0..0..0..0..1....0..0..0..0..0..0....0..0..1..0..0..0....0..0..1..0..0..0
..0..0..0..1..0..0....1..0..0..0..0..1....1..0..0..0..0..1....1..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..1..0....0..1..0..0..0..0....0..0..0..1..0..0
..0..1..0..0..0..0....0..1..0..0..0..0....0..0..0..0..1..0....0..1..0..0..0..1
..1..0..0..0..0..1....0..0..1..0..0..0....0..0..1..0..0..1....0..0..0..0..1..0
CROSSREFS
Sequence in context: A224564 A077723 A235466 * A078906 A066404 A066402
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 19 2011
STATUS
approved