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A238810 Number of nX6 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the sum of elements above it, modulo 3 1
7, 58, 498, 4167, 31125, 197418, 1055763, 4880856, 19977948, 73988808, 252222789, 801902972, 2401864834, 6830347670, 18555055873, 48388061335, 121621970223, 295617804194, 696809050142, 1596626133081, 3563675765061, 7762159805512 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 6 of A238812
LINKS
FORMULA
Empirical: a(n) = (1/1520925880320000)*n^21 - (521/4001483566080000)*n^20 + (280733/18246765061324800)*n^19 - (1009091/800296713216000)*n^18 + (1263428351/16005934264320000)*n^17 - (87961871/22417274880000)*n^16 + (157308110957/988601822208000)*n^15 - (561404357/105080976000)*n^14 + (32579981539913/217275125760000)*n^13 - (32002299106123/9053130240000)*n^12 + (507775457096141/7242504192000)*n^11 - (201470624506693/172440576000)*n^10 + (24782574974039318761/1520925880320000)*n^9 - (88935042592877896031/470762772480000)*n^8 + (127322197843062321569/70614415872000)*n^7 - (164460777264425293243/11769069312000)*n^6 + (1692671803663313850131/19615115520000)*n^5 - (3282324324299663003969/7939451520000)*n^4 + (598543228210824605143/405242838000)*n^3 - (57018800117252562839/15437822400)*n^2 + (25752092538637987/4476780)*n - 4188294729 for n>8
EXAMPLE
Some solutions for n=5
..0..0..0..0..2..2....0..0..0..0..2..2....0..2..2..0..0..0....0..0..0..2..2..0
..0..0..0..0..2..2....0..2..2..0..1..1....0..2..1..0..0..2....0..0..0..2..1..2
..0..0..2..2..0..1....0..2..1..0..0..0....0..0..0..0..2..2....0..0..0..0..2..2
..0..0..2..2..0..1....0..0..0..0..0..0....2..1..0..2..1..0....0..2..2..0..1..1
..2..2..1..1..0..2....2..1..0..0..0..0....2..1..0..2..2..1....2..1..2..1..2..1
CROSSREFS
Sequence in context: A202975 A051816 A015566 * A362210 A334610 A244469
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 05 2014
STATUS
approved

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Last modified June 16 07:19 EDT 2024. Contains 373423 sequences. (Running on oeis4.)