A265956 Number of nX2 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself.

3, 75, 235, 4267, 72764, 527311, 7155883, 100785131, 1027584101, 12833963832, 165303275897, 1900259926847, 23239578482787, 288755569082063, 3451652547267892, 42017736457914547, 515098292139995839

Offset

1,1

Comments

Column 2 of A265960.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +27*a(n-2) +1471*a(n-3) -231*a(n-4) -13234*a(n-5) -596900*a(n-6) -692608*a(n-7) +877376*a(n-8) +76755096*a(n-9) +118908760*a(n-10) -45301392*a(n-11) -3771249872*a(n-12) -6892614656*a(n-13) +3861939840*a(n-14) +54161306496*a(n-15) +87648124672*a(n-16) +51124427264*a(n-17) +144898730496*a(n-18) +211539062784*a(n-19) -328584368128*a(n-20) +94100811776*a(n-21) +1882455728128*a(n-22) +462247297024*a(n-23) -245677588480*a(n-24) +1616868474880*a(n-25) -176088416256*a(n-26) -424648114176*a(n-27) +451207495680*a(n-28) -229735661568*a(n-29) +35087450112*a(n-30)

Example

Some solutions for n=4
..1..3....0..1....0..3....0..0....0..1....1..0....0..1....2..1....0..1....3..0
..2..0....3..4....0..0....5..4....3..1....5..4....5..4....0..3....5..4....2..2
..5..4....2..4....5..0....1..2....3..3....0..0....1..0....5..3....0..1....5..0
..1..0....1..0....0..0....3..0....0..0....3..2....1..3....0..0....3..1....1..2

Crossrefs

Cf. A265960.

Sequence in context: A278380 A290774 A229852 * A189805 A230145 A343808

Adjacent sequences: A265953 A265954 A265955 * A265957 A265958 A265959

Keyword

nonn

Author

R. H. Hardin, Dec 19 2015

Status

approved