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A234252
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a(n) = ((n-1)^(n+1) + (-1)^n*(n+1)^(n-1))/(n^2).
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0
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-1, 1, 0, 23, 112, 2637, 28928, 705259, 12021504, 337390073, 7752749056, 252186614847, 7261683740672, 271082082053317, 9359536638984192, 396049017137512403, 15920162462882529280, 754792662169555947633, 34587513064809080815616, 1818644980834260579498343
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OFFSET
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1,4
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COMMENTS
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a(2n) = A233446(n) = ((2n-1)^(2n+1) + (2n+1)^(2n-1))/(2n)^2 = A154682(n)/(2n)^2 for n > 0.
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LINKS
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FORMULA
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a(n) = ((n-1)^(n+1) + (-1)^n*(n+1)^(n-1))/(n^2).
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MATHEMATICA
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Table[((m-1)^(m+1)+(-1)^m*(m+1)^(m-1))/(m^2), {m, 1, 20}]
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PROG
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(PARI) a(n) = ((n-1)^(n+1) + (-1)^n*(n+1)^(n-1))/n^2; \\ Michel Marcus, Jun 06 2021
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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