login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A194839 Rectangular array, by antidiagonals: row n gives the positions of n in the fractal sequence A194838; an interspersion. 4
1, 3, 2, 6, 5, 4, 9, 8, 7, 10, 14, 12, 11, 15, 13, 20, 18, 16, 21, 19, 17, 27, 25, 23, 28, 26, 24, 22, 34, 32, 30, 36, 33, 31, 29, 35, 43, 40, 38, 45, 42, 39, 37, 44, 41, 53, 50, 47, 55, 52, 49, 46, 54, 51, 48, 64, 61, 58, 66, 63, 60, 57, 65, 62, 59, 56, 75, 72, 69 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194832 and A194838.

LINKS

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

EXAMPLE

Northwest corner:

1...3...6...9...14..20..27

2...5...8...12..18..25..32

4...7...11..16..23..30..38

10..15..21..28..36..45..55

13..19..26..33..42..52..63

17..24..31..39..49..60..71

MATHEMATICA

r = Sqrt[3];

t[n_] := Table[FractionalPart[k*r], {k, 1, n}];

f = Flatten[Table[Flatten[(Position[t[n], #1] &) /@ Sort[t[n], Less]], {n, 1, 20}]]  (* A194838 *)

TableForm[Table[Flatten[(Position[t[n], #1] &) /@ Sort[t[n], Less]], {n, 1, 15}]]

row[n_] := Position[f, n];

u = TableForm[Table[row[n], {n, 1, 20}]]

g[n_, k_] := Part[row[n], k];

p = Flatten[Table[g[k, n - k + 1], {n, 1, 13},

{k, 1, n}]]  (* A194839 *)

q[n_] := Position[p, n]; Flatten[

Table[q[n], {n, 1, 80}]]  (* A194840 *)

CROSSREFS

Cf. A194838, A194840, A194832.

Sequence in context: A194861 A194840 A194860 * A195071 A195081 A120913

Adjacent sequences:  A194836 A194837 A194838 * A194840 A194841 A194842

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 03 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 28 21:22 EDT 2021. Contains 347717 sequences. (Running on oeis4.)