login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A254564 Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically 1
37200, 183210, 978154, 2148260, 4796417, 12136355, 25618602, 56219231, 118029035, 245830679, 490847254, 974839744, 1887834479, 3581112558, 6699292579, 12319163671, 22287681131, 39795975182, 70067976674, 121758652567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A254568

LINKS

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

R. H. Hardin, polynomial of degree 22 plus a quasipolynomial of degree 12 with period 6

FORMULA

Empirical: a(n) = 9*a(n-1) -35*a(n-2) +88*a(n-3) -207*a(n-4) +497*a(n-5) -1011*a(n-6) +1782*a(n-7) -3201*a(n-8) +5555*a(n-9) -8415*a(n-10) +12310*a(n-11) -18434*a(n-12) +25038*a(n-13) -31174*a(n-14) +40170*a(n-15) -49491*a(n-16) +53547*a(n-17) -58201*a(n-18) +64350*a(n-19) -60203*a(n-20) +51337*a(n-21) -47619*a(n-22) +34892*a(n-23) -12870*a(n-24) +12870*a(n-26) -34892*a(n-27) +47619*a(n-28) -51337*a(n-29) +60203*a(n-30) -64350*a(n-31) +58201*a(n-32) -53547*a(n-33) +49491*a(n-34) -40170*a(n-35) +31174*a(n-36) -25038*a(n-37) +18434*a(n-38) -12310*a(n-39) +8415*a(n-40) -5555*a(n-41) +3201*a(n-42) -1782*a(n-43) +1011*a(n-44) -497*a(n-45) +207*a(n-46) -88*a(n-47) +35*a(n-48) -9*a(n-49) +a(n-50) for n>62

polynomial of degree 22 plus a quasipolynomial of degree 12 with period 6 for n>12 (see link above)

EXAMPLE

Some solutions for n=2

..0..0..1..0..1..1....0..0..0..1..0..1....0..0..1..0..1..0....0..1..0..0..1..1

..0..0..1..1..1..1....0..0..0..1..1..0....0..0..0..0..1..0....0..0..0..1..1..1

..1..0..1..1..1..1....0..1..1..1..1..0....0..0..0..0..1..0....1..1..1..1..1..1

..1..1..0..1..1..1....1..1..0..1..1..1....1..0..1..1..1..0....1..1..1..1..1..0

CROSSREFS

Sequence in context: A112728 A250882 A219363 * A151630 A252166 A151840

Adjacent sequences:  A254561 A254562 A254563 * A254565 A254566 A254567

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 01 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 14 08:08 EDT 2020. Contains 336478 sequences. (Running on oeis4.)