A223977 Number of 4Xn 0..2 arrays with rows and antidiagonals unimodal

81, 6561, 186004, 2558848, 22935921, 153196498, 822895397, 3731866676, 14772553616, 52279545002, 168389072033, 500454038667, 1387317570171, 3618413260028, 8942729611918, 21066089007345, 47533740360251

Offset

1,1

Comments

Row 4 of A223975

Links

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

Formula

Empirical: a(n) = (456419/5230697472000)*n^16 + (35741/12108096000)*n^15 + (4696759/65383718400)*n^14 + (1960073/1779148800)*n^13 + (31966559/2612736000)*n^12 + (461185847/4790016000)*n^11 + (496257731/914457600)*n^10 + (445395499/203212800)*n^9 + (228272848649/36578304000)*n^8 + (5589292243/435456000)*n^7 + (282633985/14370048)*n^6 + (3122820053/239500800)*n^5 - (91030209653/108972864000)*n^4 - (327561926401/4540536000)*n^3 + (185306939/3439800)*n^2 + (13865993/360360)*n + 7

Example

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

Crossrefs

Sequence in context: A206935 A206870 A181223 * A188565 A207087 A207181

Adjacent sequences: A223974 A223975 A223976 * A223978 A223979 A223980

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved