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A089467
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Hyperbinomial transform of A089466 and also the inverse hyperbinomial transform of A089468.
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2
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1, 2, 8, 52, 478, 5706, 83824, 1461944, 29510268, 676549450, 17361810016, 492999348348, 15345359136232, 519525230896322, 19005788951346240, 747102849650454256, 31404054519248544016, 1405608808807797838866
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| See A088956 for the definition of the hyperbinomial transform.
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FORMULA
| a(n) = sum(k=0, n, (n-k+1)^(n-k-1)*C(n, k)*A089466(k)). a(n) = sum(k=0, n, -(n-k-1)^(n-k-1)*C(n, k)*A089468(k)). a(n) = sum(m=0, n, sum(j=0, m, C(m, j)*C(n, n-m-j)*n^(n-m-j)*(m+j)!/(-2)^j)/m!)).
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PROG
| (PARI) a(n)=if(n<0, 0, sum(m=0, n, sum(j=0, m, binomial(m, j)*binomial(n, n-m-j)*n^(n-m-j)*(m+j)!/(-2)^j)/m!))
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CROSSREFS
| Cf. A089466, A089468, A088956.
Sequence in context: A007832 A111088 A006351 * A195192 A103239 A132228
Adjacent sequences: A089464 A089465 A089466 * A089468 A089469 A089470
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Nov 08 2003
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