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A102480
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Triangle read by rows: row n contains the numbers C(n,k)^(k-1) for 0 <= k <= n, n >= 0.
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1
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1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 6, 16, 1, 1, 1, 10, 100, 125, 1, 1, 1, 15, 400, 3375, 1296, 1, 1, 1, 21, 1225, 42875, 194481, 16807, 1, 1, 1, 28, 3136, 343000, 9834496, 17210368, 262144, 1, 1, 1, 36, 7056, 2000376, 252047376, 4182119424, 2176782336, 4782969, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,9
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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 1
1 1 3 1
1 1 6 16 1
1 1 10 100 125 1
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MAPLE
| T:=proc(n, k) if k>n then 0 else binomial(n, k)^(k-1) fi end: for n from 0 to 10 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form: (Deutsch)
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CROSSREFS
| Diagonals give A000272, A098721-A098724. A102479 is another version.
Sequence in context: A124372 A126470 A179701 * A157964 A140670 A185587
Adjacent sequences: A102477 A102478 A102479 * A102481 A102482 A102483
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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), Apr 12 2005
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