A265347 Transpose of square array A265345.

1, 2, 3, 4, 6, 7, 8, 12, 10, 5, 16, 24, 20, 22, 9, 64, 48, 40, 28, 18, 21, 32, 192, 80, 56, 36, 30, 13, 184, 96, 160, 112, 72, 60, 26, 19, 352, 552, 640, 224, 144, 120, 52, 14, 25, 704, 1056, 320, 448, 576, 240, 208, 76, 46, 11, 1408, 2112, 1600, 1720, 288, 480, 104, 136, 68, 58, 15

Offset: 1

Author

Antti Karttunen, Dec 18 2015

Keywords

• nonn
• tabl
• base

Comments

Square array A(row,col) is read by downwards antidiagonals as: A(0,0), A(0,1), A(1,0), A(0,2), A(1,1), A(2,0), A(0,3), A(1,2), A(2,1), A(3,0), ...

All the terms in the same row are either all divisible by 3, or none of them are.

Sequence A265345 is the main entry for this idea, please see further comment there.

Examples

			The top left corner of the array:
   1,  2,  4,   8,  16, 64,    32,  184,  352,   704,  1408, ...
   3,  6, 12,  24,  48, 192,   96,  552, 1056,  2112,  4224, ...
   7, 10, 20,  40,  80, 160,  640,  320, 1600,  3520,  6080, ...
   5, 22, 28,  56, 112, 224,  448, 1720,  824,  4936,  9856, ...
   9, 18, 36,  72, 144, 576,  288, 1656, 3168,  6336, 12672, ...
  21, 30, 60, 120, 240, 480, 1920,  960, 4800, 10560, 18240, ...
  13, 26, 52, 208, 104, 520, 1144, 2072, 3712, 16120,  6968, ...
  19, 14, 76, 136, 200, 256,  512, 1024, 6040,  3992, 15424, ...
  25, 46, 68,  88, 496, 344, 1984, 1376, 5344,  7768, 15224, ...
  11, 58, 44, 232, 424, 608,  736, 4384, 2936, 17536, 11744, ...
  ...
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..2145; the antidiagonals 0 .. 64 of the array
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse permutation: A265348.

Transpose: A265345.

Programs

Scheme

(define (A265347 n) (A265345bi (A025581 (+ -1 n)) (A002262 (+ -1 n)))) ;; o=1. Transpose of A265345.