A105197 Triangle, read by rows, of Stirling numbers of second kind, S2(n,k), multiplied by k^k, for n >= 1, 1<=k<=n.

1, 1, 4, 1, 12, 27, 1, 28, 162, 256, 1, 60, 675, 2560, 3125, 1, 124, 2430, 16640, 46875, 46656, 1, 252, 8127, 89600, 437500, 979776, 823543, 1, 508, 26082, 435456, 3281250, 12410496, 23059204, 16777216, 1, 1020, 81675, 1989120, 21721875, 123451776

Offset

1,3

Links

Table of n, a(n) for n=1..42.

Formula

a(i, j) = stirling2(i, j)*j^j, read by rows.

Example

Table begins
1;
1 4;
1 12 27;
1, 28, 162, 256,
etc.

Maple

(i, j) -> stirling2(i, j)*j^j

Mathematica

Flatten[Table[Table[k^k StirlingS2[n, k], {k, 1, n}], {n, 1, 9}], 1]

Crossrefs

Cf. A008277.

Cf. A105196 (similar triangle for S1).

Sequence in context: A157384 A173621 A274087 * A157398 A306299 A089503

Adjacent sequences: A105194 A105195 A105196 * A105198 A105199 A105200

Keyword

nonn,tabl,easy

Author

Jeffrey Hall (hallj5(AT)southernct.edu), Apr 11 2005

Extensions

Typo in definition and Mathematica program by Olivier Gérard, Oct 24 2012

Status

approved