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Search: id:A107894
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| A107894 |
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Sum over the products of factorials of parts in all partitions of n where the sum runs over the number of different parts only. |
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| 1, 3, 9, 35, 167, 943, 6379, 48945, 429651, 4189865, 45307601, 535518109, 6883110373, 95435065935, 1420468921893, 22577620176887, 381695573051099, 6837601709298811, 129375694813679215, 2578070946813526485
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Thomas Wieder, Home Page.
Thomas Wieder, (Old) Home Page.
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EXAMPLE
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The partitions of 5 are 1+1+1+1+1, 1+1+1+2, 1+1+3, 1+2+2, 1+4, 2+3, 5, the corresponding products of factorials of parts are (when multiple parts are counted once only) 1!, 1!*2!, 1!*3!, 1!*2!, 1!*4!, 2!*3!, 5! and their sum is a(5) = 167.
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CROSSREFS
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Cf. A077365, A107895.
Sequence in context: A097277 A034428 A101880 this_sequence A155858 A000834 A005346
Adjacent sequences: A107891 A107892 A107893 this_sequence A107895 A107896 A107897
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KEYWORD
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nonn
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AUTHOR
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Thomas Wieder (wieder.thomas(AT)t-online.de), May 26 2005
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