

A183270


T(n,k)=Number of singly defective permutations of 1..n+2*k2 with exactly k maxima


7



0, 3, 2, 120, 80, 15, 4760, 3552, 860, 64, 249984, 199168, 57064, 6576, 220, 17512704, 14548480, 4643712, 681984, 42112, 672, 1599330304, 1367568384, 469942528, 80506880, 6849792, 242688, 1904, 185616337920, 162107703296, 58754129408
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OFFSET

1,2


COMMENTS

A singly defective permutation omits one value and repeats another value
T(1,1) is zero because there are no defective permutations of a single element
Table starts
....0......3.....120.....4760....249984...17512704.1599330304
....2.....80....3552...199168..14548480.1367568384
...15....860...57064..4643712.469942528
...64...6576..681984.80506880
..220..42112.6849792
..672.242688
.1904


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..36


EXAMPLE

Some solutions for n=4 with 2 maxima
(6,1,4,4,3,2) (4,3,1,5,6,6) (4,2,1,2,3,5) (3,2,1,6,4,3) (5,5,6,1,2,3)


CROSSREFS

Sequence in context: A323745 A109899 A002297 * A152017 A076931 A076932
Adjacent sequences: A183267 A183268 A183269 * A183271 A183272 A183273


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Jan 03 2011


STATUS

approved



