A257255 Square array A(row,col) = A255545(row,col+1) - A255545(row,col): the first differences of each row of Lucky-Unlucky array.

1, 2, 2, 2, 6, 12, 2, 6, 20, 18, 2, 6, 22, 30, 32, 2, 6, 20, 34, 52, 40, 2, 6, 22, 30, 50, 62, 64, 2, 6, 20, 32, 52, 64, 92, 84, 2, 6, 22, 30, 54, 62, 100, 116, 108, 2, 6, 20, 34, 48, 72, 92, 120, 156, 124, 2, 6, 22, 30, 50, 64, 102, 120, 152, 168, 138, 2, 6, 20, 32, 52, 62, 96, 124, 156, 168, 206, 170

Offset: 1

Author

Antti Karttunen, Apr 19 2015

Keywords

• nonn
• tabl

Comments

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

Examples

			The top left corner of the array:
    1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2
    2,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6
   12,  20,  22,  20,  22,  20,  22,  20,  22,  20,  22,  20,  22,  20,  22
   18,  30,  34,  30,  32,  30,  34,  30,  32,  30,  34,  30,  32,  30,  34
   32,  52,  50,  52,  54,  48,  50,  52,  50,  54,  48,  54,  52,  48,  54
   40,  62,  64,  62,  72,  64,  62,  64,  66,  62,  64,  62,  66,  64,  62
   64,  92, 100,  92, 102,  96,  96,  94,  96,  96,  96,  96,  98,  94,  98
   84, 116, 120, 120, 124, 116, 124, 116, 118, 122, 120, 118, 126, 120, 120
  108, 156, 152, 156, 162, 148, 162, 152, 150, 160, 152, 154, 156, 156, 158
  124, 168, 168, 174, 168, 164, 178, 170, 166, 174, 174, 168, 176, 162, 168
  138, 206, 192, 198, 198, 190, 200, 202, 192, 200, 190, 198, 200, 192, 208
  170, 232, 236, 238, 230, 244, 230, 240, 226, 242, 238, 234, 230, 246, 222
  206, 270, 274, 278, 268, 272, 280, 278, 268, 276, 276, 282, 266, 270, 286
  214, 284, 300, 286, 302, 288, 292, 288, 290, 294, 292, 290, 298, 284, 300
  274, 366, 356, 390, 358, 372, 354, 374, 378, 360, 360, 376, 366, 372, 366
  296, 384, 418, 392, 400, 396, 398, 390, 396, 402, 394, 402, 398, 400, 392
  ...
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10440; the first 144 antidiagonals of the array

Crossrefs

Column 1: A257256.

Cf. A255545.

Cf. also arrays A257251 and A257257.

Programs

Scheme

(define (A257255 n) (A257255bi (A002260 n) (A004736 n)))
(define (A257255bi row col) (- (A255545bi row (+ 1 col)) (A255545bi row col))) ;; Code for A255545bi given in A255545.

Formula

A(row,col) = A255545(row,col+1) - A255545(row,col).