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A124921 Distributes the number of permutations in the alternating group; cf. A060351 (both TABf sequences have shape A11782). +0
2
1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1 (list; graph; listen)
OFFSET

0,11

COMMENT

The symmetric group distribution of permutation descents is summarized in Table A008292; for example 1 57 302 302 57 1 sums the following A060351 values:

1.......5.......10.......10.......5.......1

.......14.......35.......35.......14.......

.......19.......26.......40.......19.......

.......14.......40.......19.......14.......

........5.......61.......26.......5.......

................26.......61..............

................19.......40..............

................40.......26..............

................35.......35..............

................10.......10..............

EXAMPLE

The distribution is based on the frequency of descents; for example,

when permuting four symbols the 12 patterns are ddd ddu dud udu dud duu

udd udu dud udu uud and uuu yielding the frequency distribution 1 1 3 1 1 3 1 1

CROSSREFS

Cf. A001710, A008292, A060351.

Sequence in context: A016564 A104443 A103496 this_sequence A076498 A110268 A058965

Adjacent sequences: A124918 A124919 A124920 this_sequence A124922 A124923 A124924

KEYWORD

more,nonn,uned

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), Nov 16 2006

page 1

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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