A250821 Number of (n+2)X(2+2) 0..1 arrays with nondecreasing maximum minus minimum of every three consecutive values in every row and column

2744, 22874, 176184, 1217728, 8095062, 52143132, 330659096, 2074791394, 12942194000, 80432210624, 498785770398, 3089054432500, 19116076203672, 118241047553034, 731167427050088, 4520568431591104, 27946423065952262

Offset

1,1

Comments

Column 2 of A250826

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -5*a(n-2) -91*a(n-3) +5*a(n-4) +431*a(n-5) +799*a(n-6) -1199*a(n-7) -4097*a(n-8) -1157*a(n-9) +8766*a(n-10) +11816*a(n-11) -4685*a(n-12) -20537*a(n-13) -12267*a(n-14) +11123*a(n-15) +19714*a(n-16) +5392*a(n-17) -8559*a(n-18) -8485*a(n-19) -695*a(n-20) +2925*a(n-21) +1310*a(n-22) -248*a(n-23) -338*a(n-24) +36*a(n-25) +56*a(n-26) -16*a(n-27) -3*a(n-28) +a(n-29)

Example

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

Crossrefs

Sequence in context: A202460 A262820 A262817 * A250498 A180695 A236316

Adjacent sequences: A250818 A250819 A250820 * A250822 A250823 A250824

Keyword

nonn

Author

R. H. Hardin, Nov 27 2014

Status

approved