A237412 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A237412

T(n,k)=Number of (n+1) X (k+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

81, 322, 322, 1278, 1632, 1278, 5228, 8236, 8236, 5228, 21456, 44186, 53167, 44186, 21456, 87164, 238640, 373804, 373804, 238640, 87164, 354008, 1260486, 2671962, 3604930, 2671962, 1260486, 354008, 1441060, 6627450, 18401364, 35476776

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

OFFSET

1,1

COMMENTS

Table starts

.......81.......322........1278..........5228...........21456............87164

......322......1632........8236.........44186..........238640..........1260486

.....1278......8236.......53167........373804.........2671962.........18401364

.....5228.....44186......373804.......3604930........35476776........330330878

....21456....238640.....2671962......35476776.......480758688.......6045609040

....87164...1260486....18401364.....330330878......6045609040.....101410470742

...354008...6627450...125750824....3029315052.....74740595664....1668740442760

..1441060..35198148...872440876...28551327846....958854072908...28739211200900

..5874828.187296514..6089994150..271444171644..12448856412422..500884807969628

.23898504.992298282.42113161848.2547123932136.158549359318752.8543128692901112

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..143

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 16]

k=2: [order 37]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A158776 A101963 A053171 * A237405 A250443 A017162

Adjacent sequences: A237409 A237410 A237411 * A237413 A237414 A237415

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 07 2014

STATUS

approved