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A102479
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Triangle read by rows: row n contains the numbers C(n,k)^(k-1) for 0 <= k <= n-1, n >= 1.
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1
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1, 1, 1, 1, 1, 3, 1, 1, 6, 16, 1, 1, 10, 100, 125, 1, 1, 15, 400, 3375, 1296, 1, 1, 21, 1225, 42875, 194481, 16807, 1, 1, 28, 3136, 343000, 9834496, 17210368, 262144, 1, 1, 36, 7056, 2000376, 252047376, 4182119424, 2176782336, 4782969, 1, 1, 45, 14400
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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LINKS
| C. Lamathe, The Number of Labeled k-Arch Graphs, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.1.
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EXAMPLE
| Triangle begins:
1
1 1
1 1 3
1 1 6 16
1 1 10 100 125
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MAPLE
| T:=(n, k)->binomial(n, k)^(k-1): for n from 1 to 10 do seq(T(n, k), k=0..n-1) od; # yields sequence in triangular form (Deutsch)
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CROSSREFS
| Diagonals give A000272, A098721-A098724. A102480 may be a better version.
Sequence in context: A202605 A123354 A120247 * A053193 A010273 A046143
Adjacent sequences: A102476 A102477 A102478 * A102480 A102481 A102482
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 24 2005
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 01 2005
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