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A157654
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Triangle read by rows:k=2; t(n,m)= If[n*m*(n - m) == 0, 1, Abs[(-k m^(k - 1) + k (-m + n)^(k - 1))]].
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0
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1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 4, 0, 4, 1, 1, 6, 2, 2, 6, 1, 1, 8, 4, 0, 4, 8, 1, 1, 10, 6, 2, 2, 6, 10, 1, 1, 12, 8, 4, 0, 4, 8, 12, 1, 1, 14, 10, 6, 2, 2, 6, 10, 14, 1, 1, 16, 12, 8, 4, 0, 4, 8, 12, 16, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Row sums are:
{1, 2, 2, 6, 10, 18, 26, 38, 50, 66, 82,...}.
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FORMULA
| k=2; t(n,m)= If[n*m*(n - m) == 0, 1, Abs[(-k m^(k - 1) + k (-m + n)^(k - 1))]]
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EXAMPLE
| {1},
{1, 1},
{1, 0, 1},
{1, 2, 2, 1},
{1, 4, 0, 4, 1},
{1, 6, 2, 2, 6, 1},
{1, 8, 4, 0, 4, 8, 1},
{1, 10, 6, 2, 2, 6, 10, 1},
{1, 12, 8, 4, 0, 4, 8, 12, 1},
{1, 14, 10, 6, 2, 2, 6, 10, 14, 1},
{1, 16, 12, 8, 4, 0, 4, 8, 12, 16, 1}
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MATHEMATICA
| k = 2; t[n_, m_] = If[n*m*(n - m) == 0, 1, Abs[(-k m^(k - 1) + k (-m + n)^(k - 1))]];
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
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CROSSREFS
| Sequence in context: A122888 A092113 A045995 * A078692 A033151 A046079
Adjacent sequences: A157651 A157652 A157653 * A157655 A157656 A157657
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KEYWORD
| nonn,tabl,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 03 2009
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