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

1,1

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

Links

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

Example

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

Crossrefs

Column 1 is A001906(n+1)

Column 2 is A060557(n+1)

Column 3 is A094855(n+2)

Row 1 is A001700

Sequence in context: A281178 A280461 A373128 * A353618 A202339 A234642

Adjacent sequences: A222342 A222343 A222344 * A222346 A222347 A222348

Keyword

nonn,tabl

Author

R. H. Hardin Feb 16 2013

Status

approved