A224306 Number of nX4 0..2 arrays with diagonals and rows unimodal and antidiagonals nondecreasing

46, 698, 5996, 45453, 345875, 2717759, 22071219, 182843194, 1528645389, 12825738594, 107715455487, 904773390455, 7599493889175, 63827735783412, 536075684379248, 4502373101398007, 37814478865105363, 317596919801312214

Offset

1,1

Comments

Column 4 of A224310

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -58*a(n-2) -13*a(n-3) +160*a(n-4) +1879*a(n-5) -7373*a(n-6) +6407*a(n-7) -2233*a(n-8) +11269*a(n-9) -128277*a(n-10) +514460*a(n-11) -559176*a(n-12) +774916*a(n-13) +91024*a(n-14) -426367*a(n-15) -1572540*a(n-16) -2736461*a(n-17) -3322156*a(n-18) -10388293*a(n-19) +187424*a(n-20) -4090338*a(n-21) +4202406*a(n-22) +9112758*a(n-23) +21520552*a(n-24) +26916252*a(n-25) +22991028*a(n-26) +42071688*a(n-27) +28540632*a(n-28) +18156960*a(n-29) +483840*a(n-30) for n>35

Example

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

Crossrefs

Sequence in context: A278204 A223929 A224053 * A224370 A078156 A341428

Adjacent sequences: A224303 A224304 A224305 * A224307 A224308 A224309

Keyword

nonn

Author

R. H. Hardin Apr 03 2013

Status

approved