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Search: id:A089500
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| A089500 |
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Denominators for computation of column sequences of triangle A071951 (Legendre-Stirling). |
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+0
10
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| 1, 2, 10, 630, 2520, 277200, 97297200, 3405402000, 463134672000, 475176173472000, 16631166071520000, 4207685016094560000, 3786916514485104000000, 98459829376612704000000
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OFFSET
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1,2
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COMMENT
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The k-th column sequence A071951(n+k,k), n>=0, is sum(A089278(k,p)*(p*(p+1))^n,p=1..k)/a(k), k>=1.
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FORMULA
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a(n)= N(n)/D(n) with N(n) := sfac(n-1)*sfac(2*n+1)/sfac(n+1)= A089501(n) and D(n) := gcd([seq((2*m+1)*((m*(m+1))^n)*N(n)/((n+m+1)!*(n-m)!), m=1..n)]), where sfac(n)=A000178(n) (superfactorials) and gcd(L) is the greatest common divisor >1 of a list of numbers L.
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CROSSREFS
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Sequence in context: A064300 A087754 A128295 this_sequence A028582 A137890 A074333
Adjacent sequences: A089497 A089498 A089499 this_sequence A089501 A089502 A089503
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KEYWORD
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nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Nov 07 2003
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