A194981 - OEIS

A194981

Interspersion fractally induced by A194979, a rectangular array, by antidiagonals.

1, 2, 3, 4, 6, 5, 7, 10, 8, 9, 11, 15, 12, 14, 13, 16, 21, 17, 20, 18, 19, 22, 28, 23, 27, 24, 25, 26, 29, 36, 30, 35, 31, 32, 34, 33, 37, 45, 38, 44, 39, 40, 43, 41, 42, 46, 55, 47, 54, 48, 49, 53, 50, 52, 51, 56, 66, 57, 65, 58, 59, 64, 60, 63, 61, 62, 67, 78, 68

(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, A194981 is a permutation of the positive integers, with inverse A194982.

LINKS

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

EXAMPLE

Northwest corner:

1...2...4...7...11..16..22

3...6...10..15..21..28..36

5...8...12..17..23..30..38

9...14..20..27..35..44..54

13..18..24..31..39..48..58

MATHEMATICA

r = Sqrt[3]; p[n_] := 1 + Floor[n/r]

Table[p[n], {n, 1, 90}] (* A194979 = 1+ A097337 *)