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A265956 Number of nX2 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself. 1
3, 75, 235, 4267, 72764, 527311, 7155883, 100785131, 1027584101, 12833963832, 165303275897, 1900259926847, 23239578482787, 288755569082063, 3451652547267892, 42017736457914547, 515098292139995839 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 28 16:42 EST 2021. Contains 349413 sequences. (Running on oeis4.)