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, 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

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 A348649

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