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A039621
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Triangle of Lehmer-Comtet numbers of 2nd kind.
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4
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1, -1, 1, 4, -3, 1, -27, 19, -6, 1, 256, -175, 55, -10, 1, -3125, 2101, -660, 125, -15, 1, 46656, -31031, 9751, -1890, 245, -21, 1, -823543, 543607, -170898, 33621, -4550, 434, -28, 1, 16777216, -11012415, 3463615, -688506, 95781, -9702, 714, -36, 1, -387420489
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OFFSET
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1,4
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LINKS
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Table of n, a(n) for n=1..46.
D. H. Lehmer, Numbers Associated with Stirling Numbers and x^x, Rocky Mountain J. Math., 15(2) 1985, pp. 461-475.
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FORMULA
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(k-1)!*a(n, k)=sum((-1)^(n-k-i)*binomial(k-1, i)*(n-i-1)^(n-1), i=0..k-1)
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EXAMPLE
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1; -1,1; 4,-3,1; -27,19,-6,1; 256,-175,55,-10,1; etc.
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CROSSREFS
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Cf. A008296 (matrix inverse). Also A045531 (for column |a(n, 2)|). A185164.
Sequence in context: A128320 A189507 A208057 * A142158 A203412 A217756
Adjacent sequences: A039618 A039619 A039620 * A039622 A039623 A039624
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KEYWORD
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tabl,sign
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AUTHOR
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Leonard Smiley (smiley(AT)math.uaa.alaska.edu)
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STATUS
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approved
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