%I #11 Apr 30 2015 21:45:07

%S 2,2,6,2,6,14,2,6,16,24,2,6,14,28,44,2,6,16,26,48,60,2,6,14,28,48,60,

%T 84,2,6,16,24,52,64,86,122,2,6,14,26,48,66,94,126,142,2,6,16,28,48,62,

%U 86,132,144,176,2,6,14,26,44,60,94,120,146,166,216,2,6,16,24,48,64,86,132,142,180,234,252

%N Square array A(row,col) = A255127(row,col+1) - A255127(row,col): the first differences of each row of Ludic array.

%C 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), ...

%H Antti Karttunen, <a href="/A257257/b257257.txt">Table of n, a(n) for n = 1..10440; the first 144 antidiagonals of the array</a>

%F A(row,col) = A255127(row,col+1) - A255127(row,col).

%F A(row,col) = 2*A257258(row,col).

%e The top left corner of the array:

%e 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

%e 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

%e 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14

%e 24, 28, 26, 28, 24, 26, 28, 26, 24, 28, 26, 28, 24, 26, 28

%e 44, 48, 48, 52, 48, 48, 44, 48, 52, 48, 48, 48, 44, 52, 48

%e 60, 60, 64, 66, 62, 60, 64, 62, 60, 70, 60, 60, 62, 64, 60

%e 84, 86, 94, 86, 94, 86, 82, 92, 88, 92, 88, 90, 90, 84, 90

%e 122, 126, 132, 120, 132, 126, 130, 126, 120, 132, 128, 126, 130, 128, 126

%e 142, 144, 146, 142, 146, 138, 150, 148, 140, 148, 146, 138, 150, 138, 150

%e 176, 166, 180, 168, 176, 178, 170, 178, 170, 180, 174, 172, 176, 178, 176

%e 216, 234, 226, 242, 228, 226, 240, 218, 234, 246, 220, 230, 234, 226, 234

%e 252, 270, 254, 274, 258, 254, 258, 276, 262, 266, 258, 256, 264, 276, 264

%e 274, 284, 268, 284, 304, 270, 282, 278, 294, 282, 282, 276, 282, 288, 292

%e 308, 316, 314, 316, 320, 316, 312, 308, 324, 336, 316, 302, 316, 314, 322

%e 360, 360, 354, 368, 360, 372, 370, 368, 352, 360, 380, 354, 370, 380, 352

%e 412, 434, 424, 420, 426, 440, 426, 420, 432, 424, 422, 444, 424, 422, 430

%e ...

%o (Scheme)

%o (define (A257257 n) (A257257bi (A002260 n) (A004736 n)))

%o (define (A257257bi row col) (- (A255127bi row (+ 1 col)) (A255127bi row col))) ;; Code for A255127bi given in A255127.

%Y Column 1: A256482.

%Y Cf. A255127.

%Y Cf. A257258 (same array but with terms divided by 2).

%Y Cf. also arrays A257251 and A257255.

%K nonn,tabl

%O 1,1

%A _Antti Karttunen_, Apr 19 2015