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A097148
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Total sum of maximum block sizes in all partitions of n-set.
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4
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1, 3, 10, 35, 136, 577, 2682, 13435, 72310, 414761, 2524666, 16239115, 109976478, 781672543, 5814797281, 45155050875, 365223239372, 3070422740989, 26780417126048, 241927307839731, 2260138776632752, 21805163768404127
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Let M be the infinite lower triangular matrix given by A080510 and v the column vector [1,2,3,...] then M*v=A097148 (this sequence, as column vector) [From Gary W. Adamson, qntmpkt@yahoo.com, Feb 24, 2011].
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FORMULA
| E.g.f.: Sum_{k>=0}(exp(exp(x)-1)-exp(Sum_{j=1..k} x^j/j!)).
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MATHEMATICA
| Drop[ Range[0, 22]! CoefficientList[ Series[ Sum[E^(E^x - 1) - E^Sum[x^j/j!, {j, 1, k}], {k, 0, 22}], {x, 0, 22}], x], 1] (from Robert G. Wilson v Aug 05 2004)
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CROSSREFS
| Cf. A028417, A028418, A046746, A006128, A097145-A097147.
Cf. A080510
Sequence in context: A008984 A151048 A149038 * A149039 A151477 A184175
Adjacent sequences: A097145 A097146 A097147 * A097149 A097150 A097151
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 27 2004
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 05 2004
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