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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. 1
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; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..49.

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; Emeric Deutsch, Aug 01 2005

PROG

(PARI) tabl(nn) = {for (n=1, nn, for (k=0, n-1, print1(binomial(n, k)^(k-1), ", "); ); print(); ); } \\ Michel Marcus, May 23 2015

CROSSREFS

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

Sequence in context: A272866 A228899 A255918 * A228902 A053193 A010273

Adjacent sequences:  A102476 A102477 A102478 * A102480 A102481 A102482

KEYWORD

nonn,tabl,easy

AUTHOR

N. J. A. Sloane, Feb 24 2005

EXTENSIONS

More terms from Emeric Deutsch, Aug 01 2005

STATUS

approved

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Last modified March 23 03:02 EDT 2019. Contains 321422 sequences. (Running on oeis4.)