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!)
A253749 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically 15
81, 450, 450, 1998, 2723, 1998, 7803, 10182, 16625, 7803, 28107, 29737, 77414, 75959, 28107, 95940, 70590, 247252, 382973, 305707, 95940, 315576, 148134, 583698, 1143174, 1636717, 1087364, 315576, 1011357, 298760, 1204422, 2351928, 5195288 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......81......450......1998......7803......28107......95940.....315576

.....450.....2723.....10182.....29737......70590.....148134.....298760

....1998....16625.....77414....247252.....583698....1204422....2363797

....7803....75959....382973...1143174....2351928....4249381....7348144

...28107...305707...1636717...5195288...10966149...19685575...33767784

...95940..1087364...5648005..17656505...36766701...64166071..106040628

..315576..3598487..17980643..54890203..112645903..199063466..333213583

.1011357.11219006..52078415.150904540..295452432..515093745..871426149

.3181653.33417573.140931619.390365827..734787935.1244615026.2111246736

.9876870.95950526.357840627.928677156.1658583509.2727201405.4561812863

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..571

FORMULA

Empirical for column k:

k=1: a(n) = 9*a(n-1) -31*a(n-2) +51*a(n-3) -40*a(n-4) +12*a(n-5)

k=2: [order 42] for n>46

k=3: [order 35] for n>45

k=4: [order 35] for n>47

k=5: [order 26] for n>41

k=6: [same order 26] for n>40

k=7: [same order 26] for n>41

Empirical for row n:

n=1: a(n) = 9*a(n-1) -31*a(n-2) +51*a(n-3) -40*a(n-4) +12*a(n-5)

n=2: [order 19] for n>25

n=3: [order 23] for n>30

n=4: [order 19] for n>27

n=5: [same order 19] for n>28

n=6: [same order 19] for n>29

n=7: [same order 19] for n>30

Empirical quasipolynomials for column k:

k=5: polynomial of degree 10 plus a quasipolynomial of degree 4 with period 4 for n>15

k=6: polynomial of degree 10 plus a quasipolynomial of degree 4 with period 4 for n>14

k=7: polynomial of degree 10 plus a quasipolynomial of degree 4 with period 4 for n>15

Empirical quasipolynomials for row n:

n=4: polynomial of degree 6 plus a quasipolynomial of degree 3 with period 4 for n>8

n=5: polynomial of degree 6 plus a quasipolynomial of degree 3 with period 4 for n>9

n=6: polynomial of degree 6 plus a quasipolynomial of degree 3 with period 4 for n>10

n=7: polynomial of degree 6 plus a quasipolynomial of degree 3 with period 4 for n>11

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A230064 A236710 A236705 * A253375 A204230 A235441

Adjacent sequences:  A253746 A253747 A253748 * A253750 A253751 A253752

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 11 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 June 20 06:23 EDT 2021. Contains 345157 sequences. (Running on oeis4.)