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A097368 Least term in row n of the Fibonacci regression array in A097367. 3
1, 1, 2, 1, 2, 2, 1, 3, 2, 2, 3, 1, 3, 3, 2, 4, 2, 3, 4, 1, 4, 3, 3, 5, 2, 4, 4, 2, 5, 3, 4, 5, 1, 5, 4, 3, 6, 3, 5, 5, 2, 6, 4, 4, 6, 2, 6, 5, 3, 7, 4, 5, 6, 1, 7, 5, 4, 7, 3, 6, 6, 3, 8, 5, 5, 7, 2, 7, 6, 4, 8, 4, 6, 7, 2, 8, 6, 5, 8, 3, 7, 7, 4, 9, 5, 6, 8, 1, 8, 7, 5, 9, 4, 7, 8, 3, 9, 6, 6, 9, 3, 8, 8, 5, 10, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,3

LINKS

Table of n, a(n) for n=2..107.

EXAMPLE

Row 8 of the array in A097367 is 7 6 5 4 1 4 6, of which the least term is T(8,5)=1.

MATHEMATICA

f[n_] := Fibonacci[n]; d[n_, k_, 1] := n; d[n_, k_, 2] := k;

d[n_, k_, j_] := ((-1)^j) (k*f[j - 1] - n*f[j - 2]);

s[n_, k_] := Select[Range[100], d[n, k, # + 1] <= 0 &, 1];

t = Table[d[n, k, s[n, k]], {n, 2, 20}, {k, 1, n - 1}];  (* A097367 array *)

Flatten[t]  (* A097367 sequence *)

Table[Min[Flatten[Table[d[n, k, s[n, k]], {k, 1, n - 1}]]], {n, 2, 100}]  (* A097368 *)

(* Clark Kimberling, Oct 14 2016 *)

CROSSREFS

Cf. A000045, A097367, A097369.

Sequence in context: A256660 A109967 A000119 * A271900 A194083 A109699

Adjacent sequences:  A097365 A097366 A097367 * A097369 A097370 A097371

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 09 2004

EXTENSIONS

a(46) = 6 inserted by Clark Kimberling, Oct 14 2016

STATUS

approved

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Last modified December 4 02:25 EST 2016. Contains 278745 sequences.