A105196 Triangle, read by rows, of Stirling numbers of first kind, S1(n,k), multiplied by k^k, for n >= 1, 1<=k<=n.

1, 1, 4, 2, 12, 27, 6, 44, 162, 256, 24, 200, 945, 2560, 3125, 120, 1096, 6075, 21760, 46875, 46656, 720, 7056, 43848, 188160, 546875, 979776, 823543, 5040, 52272, 354564, 1732864, 6125000, 15023232, 23059204, 16777216, 40320, 438336, 3189348

Offset

1,3

Links

Table of n, a(n) for n=1..39.

Formula

a(i, j) := S1(i, j)*j^j

Example

Table begins
1;
1 4;
2 12 27;
6, 44, 162, 256;
etc.

Maple

(i, j) -> abs(stirling1(i, j)*j^j)

Mathematica

Flatten[Table[Table[k^k Abs[StirlingS1[n, k]], {k, 1, n}], {n, 1, 9}], 1]

Crossrefs

Cf. A008275.

Cf. A105197 (similar triangle for S2).

Sequence in context: A143944 A154345 A058095 * A372493 A167557 A069836

Adjacent sequences: A105193 A105194 A105195 * A105197 A105198 A105199

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