

A175062


An arrangement of permutations. Irregular table read by rows: Read A175061(n) in binary from left to right. Row n contains the lengths of the runs of 0's and 1's.


1



1, 1, 2, 2, 1, 1, 3, 2, 1, 2, 3, 2, 3, 1, 2, 1, 3, 3, 2, 1, 3, 1, 2, 1, 4, 2, 3, 1, 4, 3, 2, 1, 3, 2, 4, 1, 3, 4, 2, 1, 2, 3, 4, 1, 2, 4, 3, 2, 4, 1, 3, 2, 4, 3, 1, 2, 3, 1, 4, 2, 3, 4, 1, 2, 1, 3, 4, 2, 1, 4, 3, 3, 4, 1, 2, 3, 4, 2, 1, 3, 2, 1, 4, 3, 2, 4, 1, 3, 1, 2, 4, 3, 1, 4, 2, 4, 3, 1, 2, 4, 3, 2, 1, 4, 2
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OFFSET

1,3


COMMENTS

Let F(n) = sum{k=1 to n} k!. Then rows F(n1)+1 to F(n) are the permutations of (1,2,3,...,n). (And each row in this range is made up of exactly n terms, obviously.)


LINKS

Table of n, a(n) for n=1..105.


EXAMPLE

A175061(10) = 536 in binary is 1000011000. This contains a run of one 1, followed by a run of four 0's, followed by a run of two 1's, followed finally by a run of three 0's. So row 10 consists of the run lengths (1,4,2,3), a permutation of (1,2,3,4).


CROSSREFS

Cf. A175061
Sequence in context: A117545 A047000 A288915 * A139767 A207822 A057555
Adjacent sequences: A175059 A175060 A175061 * A175063 A175064 A175065


KEYWORD

base,nonn,tabf


AUTHOR

Leroy Quet, Dec 12 2009


EXTENSIONS

Extended by Ray Chandler, Dec 16 2009


STATUS

approved



