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A032187
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Shifts left 3 places under "CIJ" (necklace, indistinct, labeled) transform.
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0
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1, 1, 1, 1, 2, 6, 26, 151, 1093, 9489, 96084, 1111722, 14469388, 209234595, 3328056991, 57746229265, 1085448899206, 21972175778646, 476535125344462, 11024061833485335, 270965694793159153
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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FORMULA
| a(n)=sum(k=0..n-5, binomial(n-4,k)*a(k+4)*a(n-k-4))+a(n-3), n>4, a(1)=a(2)=a(3)=a(4)=1. [From Vladimir Kruchinin kru(AT)ie.tusur.ru, May 10 2011]
E.g.f. A(x) satisfies differential equation A'''(x)=log(1/(1-A(x))), A'(0)=1, A''(0)=1, A'''(0)=1. [From Vladimir Kruchinin, Nov 19 2011]
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PROG
| (Maxima)
a(n):=if n=0 then 0 else if n<5 then 1 else sum(binomial(n-4, k)*a(k+4)*a(n-k-4), k, 0, n-5)+a(n-3); [From Vladimir Kruchinin kru(AT)ie.tusur.ru, May 10 2011]
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CROSSREFS
| Sequence in context: A159311 A000629 A185994 * A003659 A159602 A032271
Adjacent sequences: A032184 A032185 A032186 * A032188 A032189 A032190
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KEYWORD
| nonn,eigen
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net)
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