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A102480 Triangle read by rows: row n contains the numbers C(n,k)^(k-1) for 0 <= k <= n, n >= 0. +0
2
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; listen)
OFFSET

0,9

LINKS

C. Lamathe, The Number of Labeled k-Arch Graphs, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.1.

EXAMPLE

Triangle begins:

1

1 1

1 1 1

1 1 3 1

1 1 6 16 1

1 1 10 100 125 1

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)

CROSSREFS

Diagonals give A000272, A098721-A098724. A102479 is another version.

Sequence in context: A058057 A124372 A126470 this_sequence A157964 A140670 A068845

Adjacent sequences: A102477 A102478 A102479 this_sequence A102481 A102482 A102483

KEYWORD

nonn,tabl,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Feb 24 2005

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 12 2005

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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