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!)
A214352 T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors 12
2, 3, 6, 4, 17, 26, 5, 36, 169, 160, 6, 65, 660, 2853, 1386, 7, 106, 1951, 23554, 80573, 16814, 8, 161, 4822, 127813, 1602092, 3778867, 284724, 9, 232, 10507, 529006, 17790765, 205613460, 293207907, 6715224, 10, 321, 20840, 1807653, 135538054 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....2.....3.......4........5.........6.........7..........8...........9

....6....17......36.......65.......106.......161........232.........321

...26...169.....660.....1951......4822.....10507......20840.......38421

..160..2853...23554...127813....529006...1807653....5349708....14150061

.1386.80573.1602092.17790765.135538054.790197579.3766437036.15329961031

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..99

FORMULA

Empirical: rows n=1..5 are polynomials of degree n(n+1)/2 in k

EXAMPLE

Some solutions for n=3 k=3

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

...0.1....3.0....1.1....0.2....2.1....1.2....3.1....0.2....2.0....3.3....3.2

..2.0.3..3.1.0..0.3.0..0.3.2..3.0.2..1.2.0..3.0.2..3.0.2..2.3.0..1.3.1..3.2.3

CROSSREFS

Column 1 is 2*A183278

Row 2 is A084990(n+1)

Sequence in context: A231263 A231451 A126063 * A248090 A229774 A137524

Adjacent sequences:  A214349 A214350 A214351 * A214353 A214354 A214355

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jul 13 2012

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 7 04:39 EDT 2020. Contains 336274 sequences. (Running on oeis4.)