A224356 Number of 5Xn 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

243, 7776, 45064, 160362, 495985, 1421762, 3816783, 9630357, 22913143, 51614480, 110565824, 226229854, 443991585, 839005884, 1531899199, 2710956117, 4662807601, 7814081454, 12786980756, 20472326754, 32124242991, 49481371374

Offset

1,1

Comments

Row 5 of A224353

Links

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

Formula

Empirical: a(n) = (1009/907200)*n^10 + (1489/181440)*n^9 + (7699/60480)*n^8 + (26497/30240)*n^7 + (234967/43200)*n^6 + (430969/8640)*n^5 - (23036177/181440)*n^4 + (81980567/45360)*n^3 - (18258277/8400)*n^2 + (3586529/630)*n - 10675 for n>5

Example

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

Crossrefs

Sequence in context: A183808 A231913 A223280 * A016769 A224015 A059860

Adjacent sequences: A224353 A224354 A224355 * A224357 A224358 A224359

Keyword

nonn

Author

R. H. Hardin Apr 04 2013

Status

approved