A265895 Square array: A(row,col) = A263273(A265345(row,col)) = 2^row * A263273(A265341(col)).

1, 3, 2, 5, 6, 4, 7, 10, 12, 8, 9, 14, 20, 24, 16, 15, 18, 28, 40, 48, 32, 13, 30, 36, 56, 80, 96, 64, 11, 26, 60, 72, 112, 160, 192, 128, 17, 22, 52, 120, 144, 224, 320, 384, 256, 19, 34, 44, 104, 240, 288, 448, 640, 768, 512, 21, 38, 68, 88, 208, 480, 576, 896, 1280, 1536, 1024, 39, 42, 76, 136, 176, 416, 960, 1152, 1792, 2560, 3072, 2048

Offset

1,2

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), ...

Shares with arrays A135764, A253551 and A254053 the property that odd terms are on the top row and when going downward in each column, terms grow by doubling.

Links

Antti Karttunen, Table of n, a(n) for n = 1..7381; the antidiagonals 0 .. 120 of the array

Index entries for sequences that are permutations of the natural numbers

Formula

A(row,col) = A263273(A265345(row,col)).

A(row,col) = 2^row * A263273(A265341(col)).

Example

The top left corner of the array:
    1,   3,    5,    7,    9,   15,   13,   11,   17,   19,   21,   39,
    2,   6,   10,   14,   18,   30,   26,   22,   34,   38,   42,   78,
    4,  12,   20,   28,   36,   60,   52,   44,   68,   76,   84,  156,
    8,  24,   40,   56,   72,  120,  104,   88,  136,  152,  168,  312,
   16,  48,   80,  112,  144,  240,  208,  176,  272,  304,  336,  624,
   32,  96,  160,  224,  288,  480,  416,  352,  544,  608,  672, 1248,
   64, 192,  320,  448,  576,  960,  832,  704, 1088, 1216, 1344, 2496,
  128, 384,  640,  896, 1152, 1920, 1664, 1408, 2176, 2432, 2688, 4992,
  256, 768, 1280, 1792, 2304, 3840, 3328, 2816, 4352, 4864, 5376, 9984,
...

Prog

(Scheme, two alternatives)
(define (A265895 n) (A263273 (A265345 n)))
(define (A265895 n) (A265895bi (A002262 (+ -1 n)) (A025581 (+ -1 n))))
(define (A265895bi row col) (A263273 (A265345bi row col)))

Crossrefs

Inverse permutation: A265896.

The top row: 1+(2*A263273(n)).

Cf. A263273, A265341, A265345.

Differs from A135764 for the first time at n=16, where a(16) = 15, while A135764(16) = 11.

Sequence in context: A365232 A135764 A253551 * A254053 A360307 A303774

Adjacent sequences: A265892 A265893 A265894 * A265896 A265897 A265898

Keyword

nonn,tabl,base

Author

Antti Karttunen, Dec 18 2015

Status

approved