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Search: id:A054081
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A054081 Array T by antidiagonals: for n >= 0 and k >= 1, let p(k)=least number in N not already an a(i), q(k)=p(k)+k+n-1, a(p(k))=q(k), a(q(k))=p(k); then for h>=1, T(n,h)=a(h). +0
1
1, 3, 2, 2, 1, 3, 6, 5, 5, 4, 8, 7, 1, 6, 5, 4, 3, 8, 8, 7, 6, 11, 10, 2, 1, 9, 8, 7, 5, 4, 11, 11, 11, 10, 9, 8, 14, 13, 13, 2, 1, 12, 11, 10, 9, 16, 15, 4, 14, 14, 14, 13, 12, 11, 10, 7, 6, 16, 3, 2, 1, 15, 14, 13, 12, 11, 19, 18, 18, 17, 17, 17, 17, 16 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Each row is a self-inverse permutation of N; are the numbers in every column distinct?

LINKS

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

Row 0: 1 3 2 6 8 4 11 ... = A019444.

Row 1: 2 1 5 7 3 10 4 ... = A002251.

Row 2: 3 5 1 8 2 11 13 ...

CROSSREFS

Adjacent sequences: A054078 A054079 A054080 this_sequence A054082 A054083 A054084

Sequence in context: A088435 A074976 A068448 this_sequence A050604 A131015 A130195

KEYWORD

nonn,tabl,eigen

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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