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Search: id:A099948
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| A099948 |
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Number of partitions of n such that the number of blocks is congruent to 3 mod 4. |
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+0
1
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| 1, 6, 25, 90, 302, 994, 3487, 15210, 92489, 713988, 5979480, 50184316, 412595913, 3317961318, 26241631409, 205918294518, 1622545217510, 13045429410974, 109152638729439, 969395726250226, 9255388478615017, 94973500733767432
(list; graph; listen)
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OFFSET
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3,2
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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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FORMULA
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G.f.: sum(x^k/[(1-x)(1-2x)...(1-kx)], k=3 (mod 4)) - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 15 2004
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EXAMPLE
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a(11)=92489 because stirling2(11,3)+stirling2(11,7)+stirling2(11,11)=92489.
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MAPLE
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seq(sum(stirling2(n, 3+4*k), k=0..(n-3)/4), n=3..26); (Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 15 2004)
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CROSSREFS
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Sequence in context: A055337 A001871 A000392 this_sequence A143815 A092491 A112308
Adjacent sequences: A099945 A099946 A099947 this_sequence A099949 A099950 A099951
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 12 2004
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 15 2004
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