A218808 Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 nX6 array

57, 3969, 253877, 16247233, 1039681033, 66531801953, 4257533926265, 272450106560337, 17434754733893533, 1115692985511411585, 71395947744679117981, 4568802905958678422033, 292368974050746244520769

Offset

1,1

Comments

Column 6 of A218810

Links

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

Formula

Empirical: a(n) = 57*a(n-1) +408*a(n-2) +2352*a(n-3) +10680*a(n-4) +26020*a(n-5) +59588*a(n-6) +87840*a(n-7) -45636*a(n-8) +146168*a(n-9) +29244*a(n-10) -378096*a(n-11) +362168*a(n-12) +129076*a(n-13) -1017660*a(n-14) +794960*a(n-15) -355406*a(n-16) -41886*a(n-17) +455324*a(n-18) -254128*a(n-19) +23976*a(n-20) +76396*a(n-21) -66708*a(n-22) -6720*a(n-23) +28844*a(n-24) -10192*a(n-25) -7116*a(n-26) +7152*a(n-27) -3096*a(n-28) -1092*a(n-29) +1164*a(n-30) -432*a(n-31) -25*a(n-32) +61*a(n-33) -36*a(n-34) for n>35

Example

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

Crossrefs

Sequence in context: A012058 A122533 A015259 * A218194 A218370 A218636

Adjacent sequences: A218805 A218806 A218807 * A218809 A218810 A218811

Keyword

nonn

Author

R. H. Hardin Nov 06 2012

Status

approved