A202809 Number of nX5 nonnegative integer arrays with each row and column increasing from zero by 0, 1 or 2

1, 15, 356, 8232, 146300, 1874539, 17870566, 133496644, 817995997, 4261304129, 19398449839, 78815353079, 290571063342, 984899160732, 3101890356933, 9156259810369, 25514373644936, 67521447453170, 170570662562363

Offset

1,2

Comments

Column 5 of A202812

Links

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

Formula

Empirical: a(n) = (107411/608225502044160000)*n^20 + (107411/8688935743488000)*n^19 + (292049/711374856192000)*n^18 + (4388269/533531142144000)*n^17 + (17087621/156920924160000)*n^16 + (30492463/31384184832000)*n^15 + (153451759/26900729856000)*n^14 + (33671947/1681295616000)*n^13 + (151751213/4389396480000)*n^12 + (341775353/4828336128000)*n^11 + (8743193411/9656672256000)*n^10 + (10646538107/2414168064000)*n^9 + (5850968901581/941525544960000)*n^8 - (13679248369/3362591232000)*n^7 + (193043821457/3923023104000)*n^6 + (103097176421/653837184000)*n^5 - (5199936999869/37050773760000)*n^4 + (12260594911/61751289600)*n^3 + (692087587/1185125760)*n^2 + (33368033/232792560)*n

Example

Some solutions for n=4
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..1..1....0..0..1..2..2....0..0..0..2..2....0..0..1..2..2
..0..0..1..2..2....0..0..2..2..2....0..0..0..2..4....0..1..1..3..3
..0..0..1..2..3....0..1..3..4..4....0..1..2..3..4....0..1..2..4..4

Crossrefs

Sequence in context: A216449 A030049 A240375 * A184132 A240197 A012486

Adjacent sequences: A202806 A202807 A202808 * A202810 A202811 A202812

Keyword

nonn

Author

R. H. Hardin Dec 24 2011

Status

approved