Revision History for A105197
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing all changes.
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#4 by Olivier Gérard at Wed Oct 24 00:49:13 EDT 2012
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#3 by Olivier Gérard at Wed Oct 24 00:48:07 EDT 2012
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| NAME
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Triangle, read by rows, of Stirling numbers of second kind, S2(n,k), multpliedmultiplied by k^k, for n >= 1, 1<=k<=n.
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| EXAMPLE
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Rows are 1; 1 4; 1 12 27; etc.
Table begins
1;
1 4;
1 12 27;
1, 28, 162, 256,
etc.
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| MATHEMATICA
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Flatten[Table[Table[k^k StirlingS2[n, k], {k, 1, n}], {n, 1, 9}], 1]
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| CROSSREFS
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Cf. A105196 (similar triangle for S1).
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| KEYWORD
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nonn,tabl,easy
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| EXTENSIONS
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Typo in definition and Mathematica program by Olivier Gérard, Oct 24 2012
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| STATUS
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approved
editing
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#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006
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| FORMULA
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a(i,, j) = stirling2(i,, j)*j^j, read by rows.
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| KEYWORD
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nonn,tabl,new
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#1 by N. J. A. Sloane at Tue Jul 19 03:00:00 EDT 2005
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| NAME
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Triangle of Stirling numbers of second kind, S2(n,k), multplied by k^k, for n >= 1, 1<=k<=n.
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| DATA
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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
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| OFFSET
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1,3
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| FORMULA
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a(i,j) = stirling2(i,j)*j^j, read by rows.
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| EXAMPLE
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Rows are 1; 1 4; 1 12 27; etc.
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| MAPLE
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(i, j) -> stirling2(i, j)*j^j
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| CROSSREFS
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Cf. A008277.
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| KEYWORD
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nonn,tabl
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| AUTHOR
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Jeffrey Hall (hallj5(AT)southernct.edu), Apr 11 2005
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| STATUS
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approved
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