login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Antti Karttunen, Table of n, a(n) for n = 0..10439; the first 144 antidiagonals of array

Index entries for sequences that are permutations of the natural numbers

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 19 13:38 EDT 2018. Contains 316361 sequences. (Running on oeis4.)