A223678 Number of nX6 0..1 arrays with rows and antidiagonals unimodal

22, 484, 7745, 105995, 1363639, 17068664, 210660192, 2577807779, 31402790284, 381690187059, 4633795630120, 56218000664764, 681802614308980, 8267243693472174, 100235088136900011, 1215221703756846658

Offset

1,1

Comments

Column 6 of A223680

Links

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

Formula

Empirical: a(n) = 22*a(n-1) -151*a(n-2) +461*a(n-3) -797*a(n-4) -4885*a(n-5) +28261*a(n-6) +53750*a(n-7) -398208*a(n-8) +360701*a(n-9) +952132*a(n-10) -5152120*a(n-11) +7572284*a(n-12) +6140578*a(n-13) -18089482*a(n-14) -653352*a(n-15) +28175814*a(n-16) +67786763*a(n-17) -392210630*a(n-18) +717516941*a(n-19) -875602031*a(n-20) +904784133*a(n-21) -930560603*a(n-22) +1037859554*a(n-23) -1035189626*a(n-24) +1256680629*a(n-25) -1842818297*a(n-26) +2256596552*a(n-27) -2217424297*a(n-28) +1613743557*a(n-29) -832569368*a(n-30) +412448612*a(n-31) -308789168*a(n-32) +241553248*a(n-33) -122269952*a(n-34) +31245376*a(n-35) -2822400*a(n-36)

Example

Some solutions for n=3
..0..1..1..1..1..0....1..0..0..0..0..0....0..0..1..1..1..1....0..0..0..1..0..0
..0..1..1..0..0..0....0..0..0..0..1..1....0..0..0..0..0..1....0..1..1..0..0..0
..1..0..0..0..0..0....0..0..0..0..1..1....0..0..0..0..1..0....0..1..1..1..1..0

Crossrefs

Sequence in context: A223667 A223826 A223618 * A223784 A223970 A171296

Adjacent sequences: A223675 A223676 A223677 * A223679 A223680 A223681

Keyword

nonn

Author

R. H. Hardin Mar 25 2013

Status

approved