A203368 Number of nX5 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by both a 1 and a 0

8, 390, 11541, 386353, 12450511, 406389748, 13204707603, 429752891417, 13978424606417, 454763856635272, 14793903253874320, 481271757954158175, 15656483442797250372, 509330144756273316228, 16569296906923900286081

Offset

1,1

Comments

Column 5 of A203371

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +546*a(n-2) +6648*a(n-3) +45695*a(n-4) +155600*a(n-5) +61882*a(n-6) -1929726*a(n-7) -6341507*a(n-8) -1031827*a(n-9) +73442108*a(n-10) +55123462*a(n-11) -798824581*a(n-12) -121340332*a(n-13) +11821135522*a(n-14) -40814804925*a(n-15) +72868528346*a(n-16) -81948555588*a(n-17) +42117655464*a(n-18) +48876481619*a(n-19) -99304458931*a(n-20) +59405965046*a(n-21) -26945786407*a(n-22) -8124737055*a(n-23) +27626384615*a(n-24) -1807845185*a(n-25) -1017629558*a(n-26) -10551444955*a(n-27) +7438583232*a(n-28) -664316388*a(n-29) -3441822102*a(n-30) +1245582332*a(n-31) +61135492*a(n-32) +129508714*a(n-33) -360303880*a(n-34) +205040924*a(n-35) -21412300*a(n-36) +27464384*a(n-37) -3646976*a(n-38) +819136*a(n-39) -81152*a(n-40) +26624*a(n-41)

Example

Some solutions for n=4
..0..1..0..0..1....0..1..0..0..1....0..0..1..0..0....0..0..0..1..0
..1..0..0..0..1....1..0..0..1..0....0..1..0..0..1....0..1..0..0..0
..0..0..0..0..2....0..1..1..0..0....0..1..0..1..0....1..0..0..0..0
..1..1..1..1..0....1..0..2..1..2....0..2..0..0..0....0..0..0..0..1

Crossrefs

Sequence in context: A369770 A220799 A220785 * A012825 A221252 A165036

Adjacent sequences: A203365 A203366 A203367 * A203369 A203370 A203371

Keyword

nonn

Author

R. H. Hardin Dec 31 2011

Status

approved