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A059587
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T(n,m)=(1/m!)*Sum_{i=0..m} stirling1(m,i)*(2^i)*(2^i+1)*...*(2^i+n-1).
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2
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1, 1, 1, 2, 1, 2, 6, 7, 4, 1, 6, 24, 48, 68, 73, 56, 28, 8, 1, 24, 120, 360, 940, 2251, 4704, 8176, 11488, 12876, 11440, 8008, 4368, 1820, 560, 120, 16, 1, 120, 720, 3000, 12720, 56660, 247016, 987252, 3480536, 10647035, 28163200, 64592320, 129068160
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..47.
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FORMULA
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T(n, m)=Sum_{i=0..n} |stirling1(n, i)|*binomial(2^i, m).
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EXAMPLE
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[1, 1], [1, 2, 1], [2, 6, 7, 4, 1], [6, 24, 48, 68, 73, 56, 28, 8, 1], ...
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MAPLE
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with(combinat): for n from 0 to 10 do for m from 0 to 2^n do printf(`%d, `, sum(abs(stirling1(n, i))*binomial(2^i, m), i=0..n)) od: od:
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CROSSREFS
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Cf. A059084, (row sums) A059588.
Sequence in context: A025277 A153896 A074727 * A070236 A020825 A110422
Adjacent sequences: A059584 A059585 A059586 * A059588 A059589 A059590
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KEYWORD
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easy,nonn,changed
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AUTHOR
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Vladeta Jovovic, Jan 23 2001
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EXTENSIONS
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More terms from James A. Sellers, Jan 24 2001
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STATUS
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approved
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