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A144462
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]].
0
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
OFFSET
1,1
COMMENTS
Row sums: {2, 3, 5, 7, 10, 14, 19, 26, 36, 51, 74}.
FORMULA
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]].
EXAMPLE
{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}
MATHEMATICA
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[%]
CROSSREFS
Cf. A000045.
Sequence in context: A264032 A366597 A251138 * A370559 A112104 A059426
KEYWORD
nonn,uned
AUTHOR
STATUS
approved