A194056 - OEIS

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A194056

Natural interspersion of A000071(Fibonacci numbers minus 1), a rectangular array, by antidiagonals.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 11, 20, 21, 22, 23, 16, 17, 33, 34, 35, 36, 24, 25, 18, 54, 55, 56, 57, 37, 38, 26, 19, 88, 89, 90, 91, 58, 59, 39, 27, 28, 143, 144, 145, 146, 92, 93, 60, 40, 41, 29, 232, 233, 234, 235, 147, 148, 94, 61, 62, 42, 30

(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, A194056 is a permutation of the positive integers; its inverse is A194057.

LINKS

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

EXAMPLE

Northwest corner:

1...2...4...7...12

3...5...8...13..21

6...9...14..22..35

10..15..23..36..57

11..16..24..37..58

MATHEMATICA

z = 50;

c[k_] := -1 + Fibonacci[k + 2]