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Search: id:A099947
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| A099947 |
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Number of connected partitions of n. |
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+0
1
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| 1, 1, 1, 1, 2, 6, 21, 85, 385, 1907, 10205, 58455, 355884, 2290536, 15518391, 110283179, 819675482, 6355429550, 51293023347, 430062712439, 3739408304962, 33665192703946, 313354708842791, 3011545611755271, 29847401178719637
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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M. Klazar, Bell numbers, their relatives, and algebraic differential equations, J. Combin. Theory, A 102 (2003), 63-87.
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LINKS
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M. Klazar, Bell numbers, their relatives, and algebraic differential equations
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PROGRAM
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(PARI) {a(n)=if(n<0, 0, polcoeff( x/serreverse(x*serlaplace(exp(exp(x+x*O(x^n))-1))), n))} /* Michael Somos Sep 22 2005 */
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CROSSREFS
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Sequence in context: A150224 A150225 A123922 this_sequence A121726 A090805 A150226
Adjacent sequences: A099944 A099945 A099946 this_sequence A099948 A099949 A099950
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas, Nov 12 2004
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