A223967 Number of 7Xn 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing

16384, 3342081, 68892600, 559416917, 2772658693, 10269723035, 31770135236, 87719331172, 225263690895, 552379261275, 1315281342539, 3072993757981, 7087865594659, 16189704679316, 36662195998974, 82296709582927

Offset

1,1

Comments

Row 7 of A223961

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (1/36870930432000)*n^21 + (1/1755758592000)*n^20 + (7987/292065067008000)*n^19 + (193003/284549942476800)*n^18 + (17759011/1067062284288000)*n^17 + (1347607/3804143616000)*n^16 + (18694718671/2636271525888000)*n^15 + (3112211369/25107347865600)*n^14 + (20604917909/9782083584000)*n^13 + (70370427983/2145927168000)*n^12 + (1850924201039/3862668902400)*n^11 + (147887455837/23410114560)*n^10 + (3273669680467127/40558023475200)*n^9 + (412868001184691/482833612800)*n^8 + (28540139678997911/3362591232000)*n^7 + (7031336918804501/95103590400)*n^6 + (100407456813399821/290594304000)*n^5 + (203722361032935541/108972864000)*n^4 - (63818340288729017/11557728000)*n^3 - (185169857197901243/1286485200)*n^2 + (456453009190537/5819814)*n + 2553072919 for n>14

Example

Some solutions for n=3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..0....0..0..0....0..0..1....0..0..0....0..0..3....0..0..1....0..0..0
..0..0..0....0..0..3....0..2..3....0..0..0....0..1..2....0..0..3....0..0..2
..0..0..0....0..1..1....0..1..3....1..1..3....0..3..3....0..1..1....1..1..1
..0..0..2....1..1..3....0..3..3....0..2..2....1..1..3....1..1..2....1..1..1
..0..1..1....0..1..2....0..2..3....1..2..3....1..1..1....1..2..2....2..3..3

Crossrefs

Sequence in context: A016783 A016807 A231845 * A016903 A017692 A010802

Adjacent sequences: A223964 A223965 A223966 * A223968 A223969 A223970

Keyword

nonn

Author

R. H. Hardin Mar 29 2013

Status

approved