The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A194032 Natural interspersion of the squares (1,4,9,16,25,...), a rectangular array, by antidiagonals. 3
 1, 4, 2, 9, 5, 3, 16, 10, 6, 7, 25, 17, 11, 12, 8, 36, 26, 18, 19, 13, 14, 49, 37, 27, 28, 20, 21, 15, 64, 50, 38, 39, 29, 30, 22, 23, 81, 65, 51, 52, 40, 41, 31, 32, 24, 100, 82, 66, 67, 53, 54, 42, 43, 33, 34, 121, 101, 83, 84, 68, 69, 55, 56, 44, 45 (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, A194032 is a permutation of the positive integers; its inverse is A194033. LINKS EXAMPLE Northwest corner: 1...4...9...16...25 2...5...10..17...26 3...6...11..18...27 7...12..19..28...39 8...13..20..29...40 MATHEMATICA z = 30; c[k_] := k^2; c = Table[c[k], {k, 1, z}]  (* A000290 *) f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]] (* A071797 *) f = Table[f[n], {n, 1, 255}] r[n_] := Flatten[Position[f, n]] t[n_, k_] := r[n][[k]] TableForm[Table[t[n, k], {n, 1, 7}, {k, 1, 7}]] p = Flatten[   Table[t[k, n - k + 1], {n, 1, 14}, {k, 1, n}]] (* A194032 *) q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 70}]] (* A194033 *) CROSSREFS Cf. A000290, A071797, A194033, A192872. Sequence in context: A157647 A194108 A091452 * A191739 A091450 A163253 Adjacent sequences:  A194029 A194030 A194031 * A194033 A194034 A194035 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 12 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 27 14:37 EDT 2022. Contains 354105 sequences. (Running on oeis4.)