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A194048

Natural interspersion of A000330, a rectangular array, by antidiagonals.

1, 5, 2, 14, 6, 3, 30, 15, 7, 4, 55, 31, 16, 8, 9, 91, 56, 32, 17, 18, 10, 140, 92, 57, 33, 34, 19, 11, 204, 141, 93, 58, 59, 35, 20, 12, 285, 205, 142, 94, 95, 60, 36, 21, 13, 385, 286, 206, 143, 144, 96, 61, 37, 22, 23

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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, A194048 is a permutation of the positive integers; its inverse is A194049.

LINKS

Table of n, a(n) for n=1..55.

EXAMPLE

Northwest corner:

1...5...14...30...55

2...6...15...31...56

3...7...16...32...57

4...8...17...33...58

9...18..34...59...95

MATHEMATICA

Remove["Global`*"];

z = 30;