

A222345


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


11



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
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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: A033152 A281178 A280461 * A202339 A234642 A038228
Adjacent sequences: A222342 A222343 A222344 * A222346 A222347 A222348


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Feb 16 2013


STATUS

approved



