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A347067 Rectangular array (T(n,k)), by antidiagonals: T(n,k) = position of k in the ordering of {h/r^m, r = 1/sqrt(2), h >= 1, 0 <= m <= n}. 5
2, 4, 4, 7, 8, 6, 9, 13, 13, 10, 12, 17, 21, 21, 15, 14, 21, 28, 33, 32, 19, 16, 22, 34, 44, 49, 40, 25, 19, 26, 35, 54, 66, 61, 51, 41, 21, 30, 41, 55, 82, 82, 78, 83, 63, 24, 35, 48, 65, 83, 102, 105, 126, 128, 95, 26, 38, 56, 76, 98, 103, 130, 169, 193 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..64.

EXAMPLE

Corner:

2, 4, 7, 9, 12, 14, 16, 19, 21, ...

4, 8, 13, 17, 21, 22, 26, 30, 35, ...

6, 13, 21, 28, 34, 35, 41, 48, 56, ...

10, 21, 33, 44, 54, 55, 65, 76, 88, ...

15, 32, 49, 66, 82, 83, 98, 115, 133, ...

19, 40, 61, 82, 102, 103, 122, 143, 165, ...

25, 51, 78, 105, 130, 131, 156, 183, 210, ...

41, 83, 126, 169, 210, 211, 252, 283, 310, ...

...

MATHEMATICA

z = 100; r = N[1/Sqrt[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}]] (* A347067, array *)

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

Table[w[n - k + 1, k], {n, 12}, {k, n, 1, -1}] // Flatten (* A347067, sequence *)

CROSSREFS

Cf. A003151 (row 1), A347065, A347066, A347068, A347069.

Sequence in context: A286014 A102465 A139825 * A164721 A194118 A266188

Adjacent sequences: A347064 A347065 A347066 * A347068 A347069 A347070

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 02 2021

STATUS

approved

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Last modified January 28 20:13 EST 2023. Contains 359905 sequences. (Running on oeis4.)