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A132963
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Total number of distinct block sizes in all partitions of [n] .
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5
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1, 2, 8, 25, 102, 439, 2067, 10406, 56754, 328257, 2015818, 13067366, 89192170, 638321285, 4779442602, 37332643831, 303635437532, 2565592977205, 22483754207839, 204013083946460, 1913880812797792, 18536832515581167
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| E.g.f.: exp(exp(x)-1)*Sum_{k>0} (1-exp(-x^k/k!)).
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MATHEMATICA
| Rest[ Range[0, 23]! CoefficientList[ Series[ Exp[ Exp[x] - 1] Sum[1 - Exp[ -x^k/k! ], {k, 30}], {x, 0, 23}], x]] - Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 13 2007
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CROSSREFS
| Cf. A005493, A132958, A132959, A132960, A132961, A132962.
Sequence in context: A138804 A036367 A115256 * A122404 A150670 A150671
Adjacent sequences: A132960 A132961 A132962 * A132964 A132965 A132966
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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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