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 A263255 Square array A(r,c), where each row r lists all numbers that are r edges distant from the infinite trunk (A259934) of the tree defined by edge-relation A049820(child) = parent. 13
 0, 2, 1, 6, 9, 3, 12, 10, 4, 5, 18, 25, 11, 8, 7, 22, 26, 14, 13, 17, 19, 30, 28, 32, 15, 24, 21, 23, 34, 38, 44, 16, 72, 84, 93, 27, 42, 49, 48, 20, 87, 89, 95, 97, 29, 46, 52, 81, 40, 98, 91, 96, 99, 36, 31, 54, 66, 86, 50, 139, 143, 100, 104, 101, 33, 35, 58, 68, 88, 56, 141, 145, 149, 108, 105, 103, 109, 37 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The array A(row>=0,col>=1) is read by downwards antidiagonals: A(0,1), A(0,2), A(1,1), A(0,3), A(1,2), A(2,1), A(0,4), A(1,3), A(2,2), A(3,1), etc. LINKS EXAMPLE Top left corner of the array:    0,   2,   6,  12,  18,  22,  30,  34,  42,  46,  54,  58,  62,  70    1,   9,  10,  25,  26,  28,  38,  49,  52,  66,  68,  74,  76,  80    3,   4,  11,  14,  32,  44,  48,  81,  86,  88, 116, 130, 135, 175    5,   8,  13,  15,  16,  20,  40,  50,  56,  60,  83,  85,  92, 134    7,  17,  24,  72,  87,  98, 139, 141, 142, 150, 202, 208, 225, 228   19,  21,  84,  89,  91, 143, 145, 146, 147, 148, 206, 220, 227, 301   23,  93,  95,  96, 100, 149, 153, 154, 160, 212, 229, 240, 305, 356   27,  97,  99, 104, 108, 151, 158, 224, 248, 307, 309, 379, 381, 385   29,  36, 101, 105, 120, 155, 164, 232, 260, 264, 311, 324, 383, 387   31,  33, 103, 107, 128, 132, 157, 159, 276, 280, 313, 389, 391, 453   35, 109, 111, 136, 140, 161, 165, 393, 395, 399, 461, 465, 532, 540   37,  39, 113, 115, 117, 163, 167, 171, 397, 401, 403, 405, 463, 467   41,  45, 119, 173, 407, 471, 473, 475, 568, 571, 572, 573, 575, 659   43,  47, 123, 177, 409, 411, 477, 483, 484, 577, 578, 579, 580, 585   51, 179, 413, 415, 479, 481, 495, 581, 583, 587, 589, 594, 671, 676   53,  55, 181, 183, 417, 485, 591, 595, 602, 612, 673, 681, 877, 879   57, 185, 187, 189, 419, 423, 487, 489, 593, 610, 683, 685, 693, 881   59,  63,  64, 191, 195, 196, 421, 425, 427, 491, 493, 597, 614, 618   61, 193, 197, 429, 435, 497, 599, 603, 622, 691, 705, 893, 895, 897   65, 199, 201, 431, 499, 501, 601, 605, 626, 628, 695, 711, 899, 901   ... PROG (Scheme, with Antti Karttunen's IntSeq-library) (define (A263255 n) (A263255bi (A002262 n) (+ 1 (A025581 n)))) (define (A263255bi row col) ((rowfun-for-A263255 row) col)) (definec (rowfun-for-A263255 n) (if (zero? n) (COMPOSE A259934 -1+) (MATCHING-POS 1 0 (lambda (k) (= n (A263254 k)))))) CROSSREFS Transpose: A263256. Row 0: A259934, Row 1: A263261, Row 2: A263262, Row 3: A263263, Row 4: A263264. Column 0: A263257. Cf. A263254 (row index, zero-based), A263275 (row index, one-based), A263274 (column index, one-based). Cf. also array A262898. Sequence in context: A139526 A248927 A176013 * A145663 A276664 A160565 Adjacent sequences:  A263252 A263253 A263254 * A263256 A263257 A263258 KEYWORD nonn,tabl AUTHOR Antti Karttunen, Nov 07 2015 STATUS approved

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Last modified September 19 12:57 EDT 2019. Contains 327198 sequences. (Running on oeis4.)