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A102479 Triangle read by rows: row n contains the numbers C(n,k)^(k-1) for 0 <= k <= n-1, n >= 1. +0
2
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; listen)
OFFSET

1,6

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 3

1 1 6 16

1 1 10 100 125

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)

CROSSREFS

Diagonals give A000272, A098721-A098724. A102480 may be a better version.

Sequence in context: A046716 A123354 A120247 this_sequence A053193 A010273 A046143

Adjacent sequences: A102476 A102477 A102478 this_sequence A102480 A102481 A102482

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), Aug 01 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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