A195074 - OEIS

A195074

Interspersion fractally induced by A194920, a rectangular array, by antidiagonals.

1, 3, 2, 6, 4, 5, 10, 7, 9, 8, 15, 11, 14, 12, 13, 21, 16, 20, 17, 19, 18, 28, 22, 27, 23, 26, 25, 24, 36, 29, 35, 30, 34, 33, 31, 32, 45, 37, 44, 38, 43, 42, 39, 41, 40, 55, 46, 54, 47, 53, 52, 48, 51, 49, 50, 66, 56, 65, 57, 64, 63, 58, 62, 59, 61, 60, 78, 67, 77

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

OFFSET

1,2

COMMENTS

See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence. Every pair of rows eventually intersperse. As a sequence, A194974 is a permutation of the positive integers, with inverse A195075.

To see that A195074 differs from A194988, note that the generating sequences A195072 and A194986 differ.

LINKS

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

EXAMPLE

Northwest corner:

1...3...6...10..15..21

2...4...7...11..16..22

5...9...14..20..27..35

8...12..17..23..30..38

13..19..26..34..43..53

MATHEMATICA

r = Sqrt[3]; p[n_] := n - Floor[n/r]