The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 19 2015
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 25 14:05 EDT 2024. Contains 372788 sequences. (Running on oeis4.)