A208876 Number of 5Xn 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.

51, 28246, 16205218, 9130195864, 5134914951163, 2887736845657700, 1624001903270517563, 913306247364608338853, 513625349165806029159816, 288852734835443348518960257, 162445063843968446617446229944

Offset

1,1

Comments

Row 5 of A208872

Links

R. H. Hardin, Table of n, a(n) for n = 1..202

Formula

Empirical: a(n) = 835*a(n-1) -183323*a(n-2) +18547299*a(n-3) -987322450*a(n-4) +26936215656*a(n-5) -259592930108*a(n-6) -3698904511972*a(n-7) +105056981064194*a(n-8) -468082290224790*a(n-9) -8220453963894770*a(n-10) +93015305289328522*a(n-11) -3009215708038944*a(n-12) -4338208630525451740*a(n-13) +17757865170412343388*a(n-14) +59736218122280906604*a(n-15) -622267506833186033977*a(n-16) +938869955167775461259*a(n-17) +8000262558220637738773*a(n-18) -56634053288703764393173*a(n-19) +209139140116278936305898*a(n-20) -546065890364575413337540*a(n-21) +1008121942435233118210008*a(n-22) -1160912061971582376908448*a(n-23) +524709510887340807606720*a(n-24) +511243927003064543493888*a(n-25) -896720906468773868608512*a(n-26) +430645964613584885342208*a(n-27) +74415201590159365275648*a(n-28) -159217853403663932719104*a(n-29) +60721875388690274451456*a(n-30) -7836898836947747733504*a(n-31) for n>34

Example

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

Crossrefs

Sequence in context: A223059 A208861 A208869 * A208172 A200798 A241117

Adjacent sequences: A208873 A208874 A208875 * A208877 A208878 A208879

Keyword

nonn

Author

R. H. Hardin, Mar 02 2012

Status

approved