A257257 - OEIS

A257257

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

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

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OFFSET

1,1

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), ...

LINKS

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

FORMULA

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

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

EXAMPLE

The top left corner of the array:

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, 6

14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14

24, 28, 26, 28, 24, 26, 28, 26, 24, 28, 26, 28, 24, 26, 28

44, 48, 48, 52, 48, 48, 44, 48, 52, 48, 48, 48, 44, 52, 48

60, 60, 64, 66, 62, 60, 64, 62, 60, 70, 60, 60, 62, 64, 60

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

122, 126, 132, 120, 132, 126, 130, 126, 120, 132, 128, 126, 130, 128, 126

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

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

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

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

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

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

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

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

...

PROG

(Scheme)

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

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

CROSSREFS

Column 1: A256482.

Cf. A255127.

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

Cf. also arrays A257251 and A257255.

Sequence in context: A255049 A187564 A138061 * A257251 A068555 A167556

Adjacent sequences: A257254 A257255 A257256 * A257258 A257259 A257260

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Apr 19 2015

STATUS

approved