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A223967 Number of 7Xn 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing 1
16384, 3342081, 68892600, 559416917, 2772658693, 10269723035, 31770135236, 87719331172, 225263690895, 552379261275, 1315281342539, 3072993757981, 7087865594659, 16189704679316, 36662195998974, 82296709582927 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 8 12:51 EDT 2020. Contains 333314 sequences. (Running on oeis4.)