A194075 - OEIS

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A194075

Natural interspersion of A194073; a rectangular array, by antidiagonals.

1, 4, 2, 7, 5, 3, 13, 8, 6, 10, 19, 14, 9, 16, 11, 28, 20, 15, 22, 17, 12, 37, 29, 21, 31, 23, 18, 25, 49, 38, 30, 40, 32, 24, 34, 26, 61, 50, 39, 52, 41, 33, 43, 35, 27, 76, 62, 51, 64, 53, 42, 55, 44, 36, 46, 91, 77, 63, 79, 65, 54, 67, 56, 45, 58, 47, 109, 92, 78

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

OFFSET

1,2

COMMENTS

See A194029 for definitions of natural fractal sequence and natural interspersion. Every positive integer occurs exactly once (and every pair of rows intersperse), so that as a sequence, A194075 is a permutation of the positive integers; its inverse is A194076.

LINKS

Table of n, a(n) for n=1..69.

EXAMPLE

Northwest corner:

1...4...7...13...19

2...5...8...14...20

3...6...9...15...21

10..16..22..31...40

11..17..23..32...41

MATHEMATICA

z = 70;

c[k_] := 1 + Floor[(3/4) k^2];