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Search: id:A082754
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| A082754 |
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Triangle read by rows: T(n, k) = abs(n^k-k^n), 1<=k<=n. |
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+0 2
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| 0, 1, 0, 2, 1, 0, 3, 0, 17, 0, 4, 7, 118, 399, 0, 5, 28, 513, 2800, 7849, 0, 6, 79, 1844, 13983, 61318, 162287, 0, 7, 192, 6049, 61440, 357857, 1417472, 3667649, 0, 8, 431, 18954, 255583, 1894076, 9546255, 35570638, 91171007, 0, 9, 924, 58049, 1038576
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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Aside from n = k, the only zero in this triangle corresponds to a(4, 2). [From Alonso Delarte (alonso.delarte(AT)gmail.com), Jul 09 2009]
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EXAMPLE
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0
1 0
2 1 0
3 0 17 0
4 7 118 399 0
5 28 513 2800 7849 0
...
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MATHEMATICA
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a[n_, k_] := a[n, k] = n^k - k^n; ColumnForm[Table[Abs[a[n, k]], {n, 10}, {k, n}], Center] [From Alonso Delarte (alonso.delarte(AT)gmail.com), Jul 09 2009]
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CROSSREFS
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Cf. A055651.
Sequence in context: A131047 A143714 A004172 this_sequence A063173 A120111 A130055
Adjacent sequences: A082751 A082752 A082753 this_sequence A082755 A082756 A082757
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KEYWORD
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nonn,tabl
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 17 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Oct 04 2004
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