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A144460
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A triangle sequence of determinants: a(n)=A000045(n)+1;b(n)=A000045(n+1)-1; t(n,m)=a(m)*b(n) - b(m)*a(n).
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0
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1, 1, 0, 2, 1, 1, 4, 4, 4, 4, 7, 8, 8, 9, 4, 12, 15, 15, 18, 12, 9, 20, 26, 26, 32, 24, 22, 12, 33, 44, 44, 55, 44, 44, 33, 22, 54, 73, 73, 92, 76, 79, 66, 56, 33, 88, 120, 120, 152, 128, 136, 120, 112, 88, 56
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| Row sums are:{1, 1, 4, 16, 36, 81, 162, 319, 602, 1120}.
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FORMULA
| a(n)=A000045(n)+1;b(n)=A000045(n+1)-1; t(n,m)=a(m)*b(n) - b(m)*a(n).
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EXAMPLE
| {1},
{1, 0},
{2, 1, 1},
{4, 4, 4, 4},
{7, 8, 8, 9, 4},
{12, 15, 15, 18, 12, 9},
{20, 26, 26, 32, 24, 22, 12},
{33, 44, 44, 55, 44, 44, 33, 22},
{54, 73, 73, 92, 76, 79, 66, 56, 33},
{88, 120, 120, 152, 128, 136, 120, 112, 88, 56}
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MATHEMATICA
| Clear[a, b, t, n, m] a[n_] := Fibonacci[n] + 1; b[0] = 0; b[1] = 1; b[n_] := b[n] = Fibonacci[n + 1] - 1; t[n_, m_] := a[m]*b[n] - b[m]*a[n]; Table[Table[t[n, m], {m, 0, n - 1}], {n, 1, 10}]; Flatten[%]
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CROSSREFS
| Cf. A000045.
Sequence in context: A123246 A122518 A129704 * A177263 A197380 A057785
Adjacent sequences: A144457 A144458 A144459 * A144461 A144462 A144463
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 08 2008
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