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A010029
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Triangle of permutations of 1..n by number of runs of consecutive pairs up.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 1,4
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REFERENCES
| F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 264.
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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
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CROSSREFS
| Cf. A000255, A001277, A001278, A001279, A001280.
Sequence in context: A185418 A050609 A120870 * A143603 A094021 A062746
Adjacent sequences: A010026 A010027 A010028 * A010030 A010031 A010032
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KEYWORD
| tabl,nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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