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A347068 Rectangular array (T(n,k)), by downward antidiagonals: T(n,k) = position of k in the ordering of {h*r^m, r = 1/(golden ratio), h >= 1, 0 <= m <= n}. 5
2, 5, 4, 7, 10, 8, 10, 14, 18, 14, 13, 20, 26, 31, 25, 15, 26, 36, 46, 53, 42, 18, 30, 47, 63, 79, 88, 71, 20, 36, 55, 81, 107, 132, 146, 117, 23, 40, 65, 96, 136, 178, 219, 239, 193, 26, 46, 73, 112, 162, 225, 294, 359, 391, 315, 28, 52, 84, 127, 189, 269 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 1: A001950 (upper Wythoff sequence);

row 2: A283234;

row 3: A190508;

col 1: A020956.

LINKS

Table of n, a(n) for n=1..61.

EXAMPLE

Corner:

2, 5, 7, 10, 13, 15, 18, 20, 23, ...

4, 10, 14, 20, 26, 30, 36, 40, 46, ...

8, 18, 26, 36, 47, 55, 65, 73, 84, ...

14, 31, 46, 63, 81, 96, 112, 127, 145, ...

25, 53, 79, 107, 136, 162, 189, 215, 244, ...

42, 88, 132, 178, 225, 269, 314, 358, 405, ...

71, 146, 219, 294, 370, 443, 517, 590, 666, ...

...

MATHEMATICA

z = 1000; r = N[(-1+Sqrt[5])/2];

s[m_] := Range[z] r^m; t[0] = s[0];

t[n_] := Sort[Union[s[n], t[n - 1]]]

row[n_] := Flatten[Table[Position[t[n], N[k]], {k, 1, z}]]

TableForm[Table[row[n], {n, 1, 10}]] (* A347068, array *)

w[n_, k_] := row[n][[k]];

Table[w[n - k + 1, k], {n, 12}, {k, n, 1, -1}] // Flatten (* A347068, sequence *)

CROSSREFS

Cf. A001950, A020956, A283234, A190508, A347065, A347066, A347067, A347069.

Sequence in context: A153990 A154811 A309513 * A296203 A036237 A015948

Adjacent sequences: A347065 A347066 A347067 * A347069 A347070 A347071

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 02 2021

STATUS

approved

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Last modified November 30 05:36 EST 2022. Contains 358431 sequences. (Running on oeis4.)