A222345 T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places including 0.

3, 10, 8, 35, 33, 21, 126, 124, 108, 55, 462, 460, 440, 352, 144, 1716, 1714, 1690, 1560, 1145, 377, 6435, 6433, 6405, 6225, 5525, 3721, 987, 24310, 24308, 24276, 24038, 22950, 19551, 12087, 2584, 92378, 92376, 92340, 92036, 90440, 84626, 69142, 39254

Offset: 1

Author

R. H. Hardin Feb 16 2013

Keywords

• nonn
• tabl

Comments

Table starts

.....3.....10.....35.....126.....462....1716....6435...24310...92378..352716

.....8.....33....124.....460....1714....6433...24308...92376..352714.1352076

....21....108....440....1690....6405...24276...92340..352674.1352032

....55....352...1560....6225...24038...92036..352296.1351572

...144...1145...5525...22950...90440..350056.1348536

...377...3721..19551...84626..340746.1334368

...987..12087..69142..312019.1284780

..2584..39254.244419.1150208

..6765.127469.863788

.17711.413908

.46368

Examples

			Some solutions for n=3 k=4
..0....0....2....0....0....1....0....0....0....0....2....1....0....1....2....0
..1....1....1....2....1....1....0....0....1....3....0....1....0....0....0....3
..3....2....0....1....1....1....4....7....0....1....0....0....1....3....0....2
..0....1....1....0....4....0....0....0....2....0....1....0....0....0....1....0
..0....0....3....0....1....2....0....0....0....1....0....1....6....0....4....1
..0....3....0....4....0....0....0....0....2....0....3....4....0....1....0....0
..3....0....0....0....0....2....3....0....2....2....1....0....0....2....0....1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..66

Crossrefs

Column 1 is A001906(n+1)

Column 2 is A060557(n+1)

Column 3 is A094855(n+2)

Row 1 is A001700