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A226358
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Number of labeled relations on {1,2,...,n} such that 1 and 2 are in the same component.
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0
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0, 0, 12, 456, 63264, 33261504, 68578235904, 562670659193856, 18444482155274686464, 2417777758564741377613824, 1267640925339738611935051382784, 2658450920454274160572632643718086656, 22300734564407398196216147429929635837640704
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OFFSET
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0,3
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COMMENTS
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LINKS
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FORMULA
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E.g.f. is the double integral of A''(x)*B(x) where A(x) is the e.g.f. for A062738 and B(x) is the e.g.f. for A002416.
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EXAMPLE
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a(3) = 456 because there are 432 connected relations on [3]. Then there are 12 connected relations on [2] and for each the element 3 may be related to itself or not.
432 + 2*12 = 456.
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MATHEMATICA
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nn=10; g=Sum[2^n^2 x^n/n!, {n, 0, nn+2}]; Join[{0, 0}, Range[0, nn]! * CoefficientList[Series[D[D[Log[g], x], x]g , {x, 0, nn}], x]]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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