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A076014
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Triangle in which m-th entry of n-th row is m^(n-1).
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1
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1, 1, 2, 1, 4, 9, 1, 8, 27, 64, 1, 16, 81, 256, 625, 1, 32, 243, 1024, 3125, 7776, 1, 64, 729, 4096, 15625, 46656, 117649, 1, 128, 2187, 16384, 78125, 279936, 823543, 2097152, 1, 256, 6561, 65536, 390625, 1679616
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| This becomes triangle A009998(n-1,m-1), n>=m>=1, if the m-th column entries are divided by m^(m-1).
Row sums give A076015. The m-th column (without leading zeros) gives (m^(m-1))powers of m, m>=1.
a(n,m)=sum(stirling2(n,p)A008279(m-1,p-1),p=1..m), n>=m>=1, else 0.
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FORMULA
| a(n, m)=m^(n-1), n>=m>=1, else 0.
G.f. for m-th column: (m^(m-1))(x^m)/(1-m*x), m>=1.
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CROSSREFS
| Cf. A009998, A008279, A008277 (Stirling2).
Sequence in context: A133267 A145864 A182739 * A120458 A183244 A086933
Adjacent sequences: A076011 A076012 A076013 * A076015 A076016 A076017
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KEYWORD
| nonn,easy,tabl
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
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