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A061128
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Number of degree-n permutations of order exactly 30.
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23
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0, 0, 0, 0, 0, 0, 0, 0, 0, 120960, 2661120, 27941760, 536215680, 6901614720, 90084234240, 1540714855680, 33110649411840, 554845922991360, 8393918663370240, 141081442901118720, 2869353360741853440
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,10
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FORMULA
| E.g.f.: - exp(x) + exp(x + 1/2*x^2) + exp(x + 1/3*x^3) + exp(x + 1/5*x^5) - exp(x + 1/2*x^2 + 1/3*x^3 + 1/6*x^6) - exp(x + 1/2*x^2 + 1/5*x^5 + 1/10*x^10) - exp(x + 1/3*x^3 + 1/5*x^5 + 1/15*x^15) + exp(x + 1/2*x^2 + 1/3*x^3 + 1/5*x^5 + 1/6*x^6 + 1/10*x^10 + 1/15*x^15 + 1/30*x^30).
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CROSSREFS
| Cf. A000085, A001470, A001472, A052501, A053496 - A053505, A001189, A001471, A001473, A061121 - A061128.
Sequence in context: A043622 A190378 A092015 * A068136 A135495 A067384
Adjacent sequences: A061125 A061126 A061127 * A061129 A061130 A061131
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 14 2001
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