A210130 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order

10019, 2731088, 735336694, 198219480450, 53426898480029, 14400523684710903, 3881469298371686670, 1046198452246381246181, 281988882443671489007418, 76006354002920663184215406, 20486502156051971842814357761

Offset

1,1

Comments

Column 4 of A210134

Links

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

Formula

Empirical: a(n) = 319*a(n-1) -12448*a(n-2) -307770*a(n-3) +19003857*a(n-4) -47940781*a(n-5) -8062797435*a(n-6) +95630724963*a(n-7) +949633978540*a(n-8) -23587913597875*a(n-9) +72618564306781*a(n-10) +1459146419334837*a(n-11) -13658086185029599*a(n-12) +17603864407218421*a(n-13) +283502331705919989*a(n-14) -1303129591973246857*a(n-15) -279014374825669271*a(n-16) +13815024039103815024*a(n-17) -22992880145677918265*a(n-18) -44182446460842415541*a(n-19) +152128697073903743642*a(n-20) -14505606850313450236*a(n-21) -344933214811274872678*a(n-22) +261141694209971459720*a(n-23) +296779187097877685464*a(n-24) -389773691540956876144*a(n-25) -44632888312447155024*a(n-26) +204261362669091285120*a(n-27) -46639179100779322176*a(n-28) -30753710235878999040*a(n-29) +11357654705402941440*a(n-30) +637302851625194496*a(n-31) -414118546177001472*a(n-32)

Example

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

Crossrefs

Sequence in context: A033533 A146505 A202653 * A213319 A241880 A245209

Adjacent sequences: A210127 A210128 A210129 * A210131 A210132 A210133

Keyword

nonn

Author

R. H. Hardin Mar 17 2012

Status

approved