A218635 Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..3 nX5 array

29, 1017, 32753, 1048363, 33546641, 1073490145, 34351677143, 1099253514899, 35176108628465, 1125635352180227, 36020327300636471, 1152650346591335547, 36884807025995093735, 1180313694754197978059, 37770034069649980076795

Offset

1,1

Comments

Column 5 of A218638

Links

R. H. Hardin, Table of n, a(n) for n = 1..107

Formula

Empirical: a(n) = 30*a(n-1) +60*a(n-2) +119*a(n-3) +266*a(n-4) +644*a(n-5) +1421*a(n-6) +11956*a(n-7) -795*a(n-8) -2473*a(n-9) +872*a(n-10) +885*a(n-11) -2293*a(n-12) +27222*a(n-13) -33081*a(n-14) -5083*a(n-15) +7002*a(n-16) -3153*a(n-17) -15105*a(n-18) +5496*a(n-19) +2835*a(n-20) +141*a(n-21) -300*a(n-22) +2835*a(n-23) +1386*a(n-24) -315*a(n-26) -315*a(n-29)

Example

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

Crossrefs

Sequence in context: A218369 A234602 A099931 * A218239 A132058 A210261

Adjacent sequences: A218632 A218633 A218634 * A218636 A218637 A218638

Keyword

nonn

Author

R. H. Hardin Nov 03 2012

Status

approved