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

 

Logo

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 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A270850 T(n,k)=Number of nXnXn triangular 0..k arrays with some element plus some adjacent element totalling k+1, k or k-1 exactly once. 12
0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 24, 30, 0, 0, 0, 66, 270, 252, 0, 0, 0, 120, 1650, 6822, 2298, 0, 0, 0, 198, 7344, 108348, 307494, 28440, 0, 0, 0, 288, 24954, 1144464, 15754872, 27582438, 460494, 0, 0, 0, 402, 68838, 8559378, 469037376, 5805948474, 4875050400 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,8
COMMENTS
Table starts
.0.0......0..........0.............0................0..................0
.0.0......6.........24............66..............120................198
.0.0.....30........270..........1650.............7344..............24954
.0.0....252.......6822........108348..........1144464............8559378
.0.0...2298.....307494......15754872........469037376.........8746813158
.0.0..28440...27582438....5805948474.....571228600932.....29999932959600
.0.0.460494.4875050400.5281372355106.2104222937252028.358240737864481086
LINKS
FORMULA
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4) for n>5
n=3: [order 10] for n>17
n=4: [order 18] for n>33
Empirical quasipolynomials for row n:
n=2: polynomial of degree 2 plus a quasipolynomial of degree 0 with period 2 for n>1
n=3: polynomial of degree 5 plus a quasipolynomial of degree 3 with period 2 for n>7
n=4: polynomial of degree 9 plus a quasipolynomial of degree 7 with period 2 for n>15
EXAMPLE
Some solutions for n=4 k=4
.....3........0........4........3........2........3........0........0
....4.3......0.1......4.4......4.4......4.4......4.4......0.0......1.2
...4.2.4....1.0.1....2.4.3....3.3.3....3.4.4....2.4.4....0.0.0....1.0.0
..3.4.4.3..2.0.1.0..4.2.4.3..2.4.4.3..4.2.4.2..0.4.4.2..2.1.0.2..0.1.1.1
CROSSREFS
Sequence in context: A308091 A096527 A028599 * A322379 A225339 A365989
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 24 2016
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 8 16:32 EST 2023. Contains 367680 sequences. (Running on oeis4.)