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
Keywords
Examples
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
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
Comments