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Search: id:A144462
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| A144462 |
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A triangle sequence designed as a step function around the determinants: a(n)=A000045(n); t(n,m)=If[m == 0 || m == 1, 2 - m, If[ m < n, Ceiling[(a(m) - 1)/a(n) + 1], a(n) + 1]]. |
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1
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| 2, 2, 1, 2, 1, 2, 2, 1, 1, 3, 2, 1, 1, 2, 4, 2, 1, 1, 2, 2, 6, 2, 1, 1, 2, 2, 2, 9, 2, 1, 1, 2, 2, 2, 2, 14, 2, 1, 1, 2, 2, 2, 2, 2, 22, 2, 1, 1, 2, 2, 2, 2, 2, 2, 35, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 56
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Row sums are:{2, 3, 5, 7, 10, 14, 19, 26, 36, 51, 74}.
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FORMULA
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a(n)=A000045(n); t(n,m)=If[m == 0 || m == 1, 2 - m, If[ m < n, Ceiling[(a(m) - 1)/a(n) + 1], a(n) + 1]].
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EXAMPLE
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{2},
{2, 1},
{2, 1, 2},
{2, 1, 1, 3},
{2, 1, 1, 2, 4},
{2, 1, 1, 2, 2, 6},
{2, 1, 1, 2, 2, 2, 9},
{2, 1, 1, 2, 2, 2, 2, 14},
{2, 1, 1, 2, 2, 2, 2, 2, 22},
{2, 1, 1, 2, 2, 2, 2, 2, 2, 35},
{2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 56}
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MATHEMATICA
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Clear[a, b, t, n, m]; a[n_] := Fibonacci[n]; t[n_, m_] := If[m == 0 || m == 1, 2 - m, If[ m < n, Ceiling[(a[m] - 1)/a[n] + 1], a[n] + 1]]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]
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CROSSREFS
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Cf. A000045.
Sequence in context: A026607 A052005 A138702 this_sequence A112104 A059426 A082389
Adjacent sequences: A144459 A144460 A144461 this_sequence A144463 A144464 A144465
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 08 2008
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