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A126443
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a(n) = Sum_{k=0..n-1} C(n-1,k)*a(k)*2^k for n>0, with a(0)=1.
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2
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1, 1, 3, 17, 179, 3489, 127459, 8873137, 1195313043, 315321098561, 164239990789571, 169810102632595281, 349630019758589841523, 1436268949679165936016097, 11784559509424676876673518499
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Generated by a generalization of a recurrence for the Bell numbers (A000110).
Starting with offset 1 = eigensequence of triangle A013609 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 04 2009]
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FORMULA
| a(n) = Sum_{k=0..n*(n-1)/2} A126347(n,k)*2^k.
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PROG
| (PARI) a(n)=if(n==0, 1, sum(k=0, n-1, binomial(n-1, k)*a(k)*2^k))
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CROSSREFS
| Cf. A126347, A000110.
A013609 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 04 2009]
Sequence in context: A015083 A053934 A159592 * A054976 A163886 A163879
Adjacent sequences: A126440 A126441 A126442 * A126444 A126445 A126446
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jan 01 2007
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