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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Let F(n) = sum{k=1 to n} k!. Then rows F(n-1)+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

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Last modified March 22 04:32 EDT 2019. Contains 321406 sequences. (Running on oeis4.)