A224157 Number of nX7 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing

29, 267, 1252, 4339, 13283, 39037, 114537, 340134, 1025559, 3143071, 9794989, 31018972, 99708260, 324764638, 1069736878, 3556096357, 11908005965, 40101772888, 135631552056, 460218357877, 1565350043268, 5333698073679

Offset

1,1

Comments

Column 7 of A224158

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -20*a(n-2) +11*a(n-3) +13*a(n-4) +18*a(n-5) -83*a(n-6) +98*a(n-7) -99*a(n-8) +159*a(n-9) -264*a(n-10) +312*a(n-11) -324*a(n-12) +647*a(n-13) -757*a(n-14) +88*a(n-15) +283*a(n-16) -257*a(n-17) -451*a(n-18) +365*a(n-19) -1074*a(n-20) +477*a(n-21) -1092*a(n-22) +258*a(n-23) -916*a(n-24) -142*a(n-25) +114*a(n-26) +202*a(n-27) +118*a(n-28) -56*a(n-29) +56*a(n-30) -24*a(n-31) +8*a(n-32) -8*a(n-33) for n>37

Example

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

Crossrefs

Sequence in context: A142683 A042634 A223769 * A223776 A224408 A120823

Adjacent sequences: A224154 A224155 A224156 * A224158 A224159 A224160

Keyword

nonn

Author

R. H. Hardin Mar 31 2013

Status

approved