A209740 Number of nX4 0..5 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..5 introduced in row major order

15, 700, 103373, 20611956, 4474325828, 991613495404, 220845828478730, 49242046909442868, 10982471712866182098, 2449579228342732267816, 546373088082223670747386, 121867698385924682716244064

Offset

1,1

Comments

Column 4 of A209744

Links

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

Formula

Empirical: a(n) = 244*a(n-1) +137*a(n-2) -1195614*a(n-3) +21837944*a(n-4) +1404675270*a(n-5) -36835307408*a(n-6) -326873376252*a(n-7) +14507648154376*a(n-8) -8311682181464*a(n-9) -2334523810998832*a(n-10) +8762975100490480*a(n-11) +185277092995650336*a(n-12) -908553103605691712*a(n-13) -8222060623354335360*a(n-14) +40603092591766507264*a(n-15) +222543140644632005632*a(n-16) -906919532901077344256*a(n-17) -3774725396673218404352*a(n-18) +10011737555551519784960*a(n-19) +37478635910651820179456*a(n-20) -48928099712667888910336*a(n-21) -182050232765906369380352*a(n-22) +115193182556326721486848*a(n-23) +411251029796589926350848*a(n-24) -170990851031162490454016*a(n-25) -418387866292483163947008*a(n-26) +167007575033595637530624*a(n-27) +154943201526404521918464*a(n-28) -70873530141897822044160*a(n-29) for n>30

Example

Some solutions for n=5
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..0....0..0..0..0
..1..2..3..2....1..2..1..2....1..2..1..2....1..2..0..2....1..2..1..2
..4..1..1..1....0..0..2..3....0..1..3..3....0..1..2..3....0..0..0..2
..4..3..4..0....1..2..1..1....3..0..0..1....4..4..1..1....3..1..2..4
..5..4..5..0....4..4..4..2....0..4..1..4....5..3..3..2....5..3..1..1

Crossrefs

Sequence in context: A062032 A204251 A281764 * A209461 A209523 A117812

Adjacent sequences: A209737 A209738 A209739 * A209741 A209742 A209743

Keyword

nonn

Author

R. H. Hardin Mar 12 2012

Status

approved