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A132959
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Total number of all distinct list sizes in all partitions of [n] into lists, cf. A000262.
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6
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1, 3, 19, 109, 881, 7621, 77785, 854225, 10750465, 143737381, 2121714761, 33426065905, 568250246305, 10242445089605, 197388381934801, 4003553262384961, 86010508861504385, 1939950117886565125
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| E.g.f.: exp(x/(1-x))*Sum_{k>0}(1-exp(-x^k)).
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MATHEMATICA
| Rest[ Range[0, 20]! CoefficientList[ Series[ Exp[x/(1 - x)] Sum[(-x)^k/(k!*(x^k - 1)), {k, 25}], {x, 0, 20}], x]] - Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 13 2007
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CROSSREFS
| Cf. A052852, A132958, A132960, A132961, A132962, A132963.
Sequence in context: A130425 A103005 A162354 * A037154 A037774 A037662
Adjacent sequences: A132956 A132957 A132958 * A132960 A132961 A132962
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 06 2007
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 13 2007
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