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

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

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

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

Adjacent sequences: A240393 A240394 A240395 * A240397 A240398 A240399

Keyword

nonn

Author

R. H. Hardin, Apr 04 2014

Status

approved