login
A240396
Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4
1
4, 50, 258, 954, 3064, 9075, 27120, 73312, 187700, 454607, 1054023, 2348091, 5040527, 10456925, 21019462, 41033776, 77965751, 144468320, 261540590, 463367238, 804614463, 1371267840, 2296511220, 3783694051, 6139153725
OFFSET
1,1
COMMENTS
Row 4 of A240394
LINKS
FORMULA
Empirical: a(n) = (1/8717829120)*n^14 - (17/2075673600)*n^13 + (83/159667200)*n^12 - (317/17740800)*n^11 + (22217/43545600)*n^10 - (161857/14515200)*n^9 + (67319279/304819200)*n^8 - (7456547/2073600)*n^7 + (100092067/2419200)*n^6 - (27432253/134400)*n^5 - (16160141119/7484400)*n^4 + (244256373721/4989600)*n^3 - (60250176112681/151351200)*n^2 + (111761986901/72072)*n - 2304050 for n>13
EXAMPLE
Some solutions for n=4
..3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0
..3..0..0..0....1..0..0..3....3..2..0..3....1..0..0..3....1..3..3..0
..1..2..2..3....3..2..0..3....1..0..2..1....3..2..2..1....3..1..3..2
..1..2..0..2....3..2..0..2....3..0..0..2....1..0..0..0....3..2..2..2
CROSSREFS
Sequence in context: A274872 A189894 A275291 * A197473 A219566 A202790
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 04 2014
STATUS
approved