A194988 - OEIS

A194988

Interspersion fractally induced by A194987, 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, A194988 is a permutation of the positive integers, with inverse A194989.

LINKS

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

Index entries for sequences that are permutations of the natural numbers

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