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!)
A235555 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing rowwise and columnwise 7
16, 46, 46, 120, 202, 120, 288, 814, 814, 288, 660, 2878, 5567, 2878, 660, 1456, 9320, 33851, 33851, 9320, 1456, 3136, 27731, 184281, 378570, 184281, 27731, 3136, 6624, 77606, 892122, 3824372, 3824372, 892122, 77606, 6624, 13808, 205571, 3925717 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....16......46.......120.........288...........660...........1456

....46.....202.......814........2878..........9320..........27731

...120.....814......5567.......33851........184281.........892122

...288....2878.....33851......378570.......3824372.......33823017

...660....9320....184281.....3824372......74362722.....1271453587

..1456...27731....892122....33823017....1271453587....42883865335

..3136...77606...3925717...265989722...19182239308..1280647786349

..6624..205571..15834473..1875119528..256273383832.33729294480195

.13808..522118..59506551.12064334056.3086943812776

.28480.1277701.209811804.71470709789

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +4*a(n-2) -8*a(n-3) -4*a(n-4) +8*a(n-5)

k=2: [order 19]

k=3: [order 55]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A223029 A244343 A235772 * A069128 A099003 A124709

Adjacent sequences:  A235552 A235553 A235554 * A235556 A235557 A235558

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 12 2014

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 January 27 07:48 EST 2022. Contains 350605 sequences. (Running on oeis4.)