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A276610
Square array A(row,col) = A255127(row+1,col) - A255127(row,col): the first differences of each column of Ludic array, read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...
6
1, 5, 2, 9, 10, 2, 13, 20, 12, 4, 17, 28, 24, 24, 2, 21, 38, 36, 44, 18, 4, 25, 46, 48, 66, 30, 28, 6, 29, 56, 58, 90, 46, 54, 44, 2, 33, 64, 68, 114, 60, 84, 84, 22, 4, 37, 74, 82, 136, 74, 104, 122, 40, 38, 8, 41, 82, 92, 152, 86, 136, 156, 54, 60, 48, 4, 45, 92, 102, 174, 106, 162, 194, 76, 94, 116, 40, 2
OFFSET
1,2
COMMENTS
Not all rows are monotonic. See A276620 for their first differences.
FORMULA
A(row,col) = A255127(row+1,col) - A255127(row,col).
A(row,col) = A269379(A255127(row,col)) - A255127(row,col).
EXAMPLE
The top left 16 x 15 corner of the array:
1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61
2, 10, 20, 28, 38, 46, 56, 64, 74, 82, 92, 100, 110, 118, 128, 136
2, 12, 24, 36, 48, 58, 68, 82, 92, 102, 114, 126, 138, 148, 158, 172
4, 24, 44, 66, 90, 114, 136, 152, 174, 202, 222, 244, 264, 284, 310, 330
2, 18, 30, 46, 60, 74, 86, 106, 120, 128, 150, 162, 174, 192, 204, 216
4, 28, 54, 84, 104, 136, 162, 180, 210, 238, 260, 288, 318, 346, 366, 396
6, 44, 84, 122, 156, 194, 234, 282, 316, 348, 388, 428, 464, 504, 548, 584
2, 22, 40, 54, 76, 90, 102, 122, 144, 164, 180, 198, 210, 230, 240, 264
4, 38, 60, 94, 120, 150, 190, 210, 240, 270, 302, 330, 364, 390, 430, 456
8, 48, 116, 162, 236, 288, 336, 406, 446, 510, 576, 622, 680, 738, 786, 844
4, 40, 76, 104, 136, 166, 194, 212, 270, 298, 318, 356, 382, 412, 462, 492
2, 24, 38, 52, 62, 108, 124, 148, 150, 182, 198, 222, 242, 260, 272, 300
4, 38, 70, 116, 148, 164, 210, 240, 270, 300, 354, 388, 414, 448, 474, 504
6, 58, 102, 142, 194, 234, 290, 348, 408, 436, 460, 524, 576, 630, 696, 726
8, 60, 134, 204, 256, 322, 390, 446, 498, 578, 642, 684, 774, 828, 870, 948
PROG
(Scheme)
(define (A276610 n) (A276610bi (A002260 n) (A004736 n)))
(define (A276610bi row col) (- (A255127bi (+ 1 row) col) (A255127bi row col))) ;; Code for A255127bi given in A255127.
CROSSREFS
Transpose: A276609.
Row 1: A016813.
Column 1: A260723 (from the second 1 onward), Column 2: A276606.
Cf. also arrays A257257, A257513 and A276620 (gives the first differences of each row).
Sequence in context: A064582 A197374 A119946 * A065270 A065282 A274930
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Sep 13 2016
STATUS
approved