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A029700 Number of words of length 6 in the n(n-1)/2 transpositions of S[ n ] equivalent to the identity. 1
0, 1, 243, 3936, 20860, 72315, 197421, 460768, 961416, 1843245, 3306655, 5621616, 9142068, 14321671, 21730905, 32075520, 46216336, 65190393, 90233451, 122803840, 164607660, 217625331, 284139493, 366764256 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

FORMULA

n*(n-1)*(15*n^4+30*n^3-105*n^2-700*n+1344)/8

PROG

(MAGMA) [n*(n-1)*(15*n^4+30*n^3-105*n^2-700*n+1344)/8: n in [1..45]]; // Vincenzo Librandi, Jun 30 2011

CROSSREFS

Sequence in context: A100627 A016757 A133550 * A183808 A016769 A059860

Adjacent sequences:  A029697 A029698 A029699 * A029701 A029702 A029703

KEYWORD

nonn

AUTHOR

Paolo Dominici (pl.dm(AT)libero.it)

EXTENSIONS

Corrected a(1) = 0 by Vincenzo Librandi, Jun 30 2011

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Last modified February 15 12:25 EST 2012. Contains 205786 sequences.