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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row sums: {2, 3, 5, 7, 10, 14, 19, 26, 36, 51, 74}.

LINKS

Table of n, a(n) for n=1..66.

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: A258124 A264032 A251138 * A112104 A059426 A245977

Adjacent sequences:  A144459 A144460 A144461 * A144463 A144464 A144465

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula and Gary W. Adamson, Oct 08 2008

STATUS

approved

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Last modified July 13 17:54 EDT 2020. Contains 335689 sequences. (Running on oeis4.)