A194061 - OEIS

A194061

Natural interspersion of A002620; a rectangular array, by antidiagonals.

1, 2, 3, 4, 5, 8, 6, 7, 11, 15, 9, 10, 14, 19, 24, 12, 13, 18, 23, 29, 35, 16, 17, 22, 28, 34, 41, 48, 20, 21, 27, 33, 40, 47, 55, 63, 25, 26, 32, 39, 46, 54, 62, 71, 80, 30, 31, 38, 45, 53, 61, 70, 79, 89, 99, 36, 37, 44, 52, 60, 69, 78, 88, 98, 109, 120

(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, A194061 is a permutation of the positive integers; its inverse is A194062.

LINKS

Table of n, a(n) for n=1..66.

EXAMPLE

Northwest corner:

1...2...4...6...9...12

3...5...7...10..13..17

8...11..14..18..22..27

15..19..23..28..33..39

24..29..34..40..46..53

MATHEMATICA

z = 50;

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