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Search: id:A158886
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| A158886 |
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a(n) = (n+1)^n * n! * C(1/(n+1), n). |
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+0
1
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| 1, 1, -2, 21, -504, 21505, -1432080, 137227545, -17893715840, 3047775608241, -657209398809600, 175036741783305325, -56436686113876992000, 21667473499647065000625, -9768377272589156352395264
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = Product_{k=0..n-1} (1 - k*(n+1)) for n>0 with a(0)=1.
a(n) = Coefficient of x^n/(n!*(n+1)^n) in (1+x)^(1/(n+1)).
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EXAMPLE
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a(1) = 1, a(2) = 1*(-2), a(3) = 1*(-3)*(-7), a(4) = 1*(-4)*(-9)*(-14).
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PROGRAM
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(PARI) a(n)=(n+1)^n*n!*binomial(1/(n+1), n)
(PARI) a(n)=if(n==0, 1, prod(k=0, n-1, 1-k*(n+1)))
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CROSSREFS
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Cf. A158887.
Sequence in context: A090310 A024232 A090451 this_sequence A092957 A078602 A060319
Adjacent sequences: A158883 A158884 A158885 this_sequence A158887 A158888 A158889
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), May 01 2009
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