A188370 - OEIS

A188370

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock sum equal to exactly one or two horizontal and vertical neighbor 2X2 subblock sums

0, 704, 704, 1936, 15776, 1936, 34816, 315520, 315520, 34816, 172992, 6781400, 11342816, 6781400, 172992, 2053216, 146491208, 716732884, 716732884, 146491208, 2053216, 12950528, 3204417424, 34292827560

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Table starts

.......0.......704......1936.....34816......172992....2053216.12950528

.....704.....15776....315520...6781400...146491208.3204417424

....1936....315520..11342816.716732884.34292827560

...34816...6781400.716732884

..172992.146491208

.2053216

LINKS

Table of n, a(n) for n=1..24.

EXAMPLE

Some solutions for 3X3

..2..1..2....2..3..2....3..0..2....3..3..2....2..3..2....0..1..0....0..1..0

..0..0..0....2..3..0....3..0..2....3..3..3....1..1..1....0..2..0....3..3..3

..2..1..2....2..3..2....2..1..1....3..3..2....3..0..3....1..3..1....0..2..0

CROSSREFS

Column 1 is A185568

Sequence in context: A334010 A257721 A253396 * A185571 A186923 A185807

Adjacent sequences: A188367 A188368 A188369 * A188371 A188372 A188373

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 29 2011

STATUS

approved