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A010029 Triangle of permutations of 1..n by number of runs of consecutive pairs up. +0
2
1, 1, 1, 3, 3, 1, 12, 11, 11, 56, 53, 3, 87, 321, 309, 53, 693, 2175, 2119, 11, 680, 5934, 17008, 16687, 309, 8064, 55674, 150504, 148329, 53, 5805, 96370, 572650, 1485465, 1468457, 2119, 95575 (list; table; graph; listen)
OFFSET

1,4

REFERENCES

F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 264.

FORMULA

G.f.: Sum(n!*(((1-y)*x^2-x)/((1-y)*x^2-1))^n,n = 0 .. infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 21 2007

CROSSREFS

Cf. A000255, A001277, A001278, A001279, A001280.

Sequence in context: A131889 A050609 A120870 this_sequence A143603 A094021 A062746

Adjacent sequences: A010026 A010027 A010028 this_sequence A010030 A010031 A010032

KEYWORD

tabl,nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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


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