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A032186
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Shifts left 2 places under "CIJ" (necklace, indistinct, labeled) transform.
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0
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1, 1, 1, 2, 6, 27, 160, 1183, 10477, 108149, 1275024, 16903440, 248915119, 4031045212, 71202358081, 1362297883463, 28066342411395, 619474462826562, 14583353438928682, 364748466791800669
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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FORMULA
| E.g.f. A(x) satisfies differential equation A''(x)=log(1/(1-A(x)), A'(0)=1, A''(0)=1. [From Vladimir Kruchinin, Nov 18 2011]
a(n)=n!*b(n), b(n)=b(n-2)*(n-2)+sum(i=0..n-4, b(i+3)*(i+1)*(i+2)*(i+3)*b(n-3-i)))/(n*(n-1)*(n-2)) n>0, b(1)=1, b(2)=1/2. [From Vladimir Kruchinin, Nov 18 2011]
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PROG
| (Maxima)
a(n):=if n<3 then 1/n! else (a(n-2)*(n-2)+sum(a(i+3)*(i+1)*(i+2)*(i+3)*a(n-3-i), i, 0, n-4))/(n*(n-1)*(n-2));
makelist(n!*a(n), n, 1, 17); [From Vladimir Kruchinin, Nov 18 2011]
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CROSSREFS
| Sequence in context: A118192 A058133 A009308 * A122938 A058712 A070076
Adjacent sequences: A032183 A032184 A032185 * A032187 A032188 A032189
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KEYWORD
| nonn,eigen
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net)
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