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A089072
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Triangle read by rows: T(n,k) = k^n, n>=1, 1<=k<=n.
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4
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1, 1, 4, 1, 8, 27, 1, 16, 81, 256, 1, 32, 243, 1024, 3125, 1, 64, 729, 4096, 15625, 46656, 1, 128, 2187, 16384, 78125, 279936, 823543, 1, 256, 6561, 65536, 390625, 1679616, 5764801, 16777216, 1, 512, 19683, 262144, 1953125, 10077696, 40353607
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| T(n,k) = number of mappings from an n-element set into a k-element set. - Clark Kimberling (ck6(AT)evansville.edu), Nov 26 2004
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EXAMPLE
| Triangle begins:
1
1 4
1 8 27
1 16 81 256
1 32 243 1024 3125
1 64 729 4096 15625 46656
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MATHEMATICA
| Column[Table[k^n, {n, 8}, {k, n}], Center] (* Alonso del Arte, Nov 14 2011 *)
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CROSSREFS
| Related to triangle of Eulerian numbers A008292.
Sequence in context: A013611 A077910 A100235 * A036177 A177841 A141680
Adjacent sequences: A089069 A089070 A089071 * A089073 A089074 A089075
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Dec 04 2003
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EXTENSIONS
| More terms and better definition from Herman Jamke (hermanjamke(AT)fastmail.fm), Jul 10 2004
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