A194922 - OEIS

A194922

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

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

(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, A194922 is a permutation of the positive integers, with inverse A195071.

LINKS

G. C. Greubel, Table of n, a(n) for the first 100 rows, flattened

EXAMPLE

Northwest corner:

1, 3, 6, 10, 15, 21

2, 5, 9, 14, 20, 27, 35

4, 7, 11, 16, 22, 29, 37

8, 13, 19, 26, 34, 43, 53

12, 18, 25, 33, 42, 52, 63

MATHEMATICA

r = Sqrt[2]; p[n_] := n - Floor[n/r]

Table[p[n], {n, 1, 90}] (* A194920 *)