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A251716 Array of positions of A251637(n,k) in A098550.

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%I A251716 #8 Dec 19 2014 14:15:53
%S A251716 2,3,4,7,5,6,8,9,7,8,20,13,11,10,10,21,22,15,13,12,12,28,23,24,17,16,
%T A251716 17,14,41,30,25,34,27,18,19,16,49,43,32,36,46,38,26,21,18,59,51,45,35,
%U A251716 38,66,40,32,24,20,60,61,53,47,67,54,68,42,34,26,25,77
%N A251716 Array of positions of A251637(n,k) in A098550.
%C A251716 T(n,k) = A098551(A251637(n,k));
%C A251716 A251637(n,k) = A098550(T(n,k));
%C A251716 T(n,k+1) > T(n,k) + 1, according definition of A098550;
%C A251716 conjecture: A098550 is a permutation of the positive integers iff all integers > 1 occur exactly once.
%H A251716 Reinhard Zumkeller, <a href="/A251716/b251716.txt">Rows n = 1..125 of triangle, flattened</a>
%e A251716 .   n   p |  Indices of A251637(n,k) in A098550, n = 1..25, k= 1..14
%e A251716 .  -------+-------------------------------------------------------------
%e A251716 .   1   2 |   2   4   6   8  10  12  14  16  18  20   25   27   29   31
%e A251716 .   2   3 |   3   5   7  10  12  17  19  21  24  26   28   31   33   37
%e A251716 .   3   5 |   7   9  11  13  16  18  26  32  34  36   39   45   48   50
%e A251716 .   4   7 |   8  13  15  17  27  38  40  42  44  58   68   70   72   74
%e A251716 .   5  11 |  20  22  24  34  46  66  68  73  91 100  122  124  126  128
%e A251716 .   6  13 |  21  23  25  36  38  54  83  95 108 120  122  139  178  185
%e A251716 .   7  17 |  28  30  32  35  67  70 111 115 126 141  174  183  185  218
%e A251716 .   8  19 |  41  43  45  47  72  82 113 123 163 166  189  201  221  248
%e A251716 .   9  23 |  49  51  53  56  74  93 149 157 197 228  230  244  252  304
%e A251716 .  10  29 |  59  61  63  96 105 121 188 198 250 259  265  314  323  387
%e A251716 .  11  31 |  60  62  64  98 135 179 200 207 261 263  268  335  343  402
%e A251716 .  12  37 |  77  79  81 118 161 193 241 253 320 348  392  400  411  413
%e A251716 .  13  41 |  85  87  89 146 172 208 266 278 350 358  442  451  478  553
%e A251716 .  14  43 |  86  88  90 148 184 210 280 286 352 369  459  487  489  561
%e A251716 .  15  47 |  99 101 103 109 150 199 306 344 403 406  509  516  538  616
%e A251716 .  16  53 | 112 114 116 131 227 295 349 381 455 470  518  574  610  704
%e A251716 .  17  59 | 125 127 129 219 254 305 389 439 472 511  626  640  697  717
%e A251716 .  18  61 | 130 132 134 136 242 258 396 445 474 531  628  654  726  795
%e A251716 .  19  67 | 140 142 144 147 292 307 458 463 576 581  630  740  772  871
%e A251716 .  20  71 | 151 153 155 287 308 397 469 501 623 636  775  815  837  932
%e A251716 .  21  73 | 156 158 160 162 316 399 480 532 633 686  801  839  865  952
%e A251716 .  22  79 | 165 167 169 289 341 418 515 545 687 690  841  855  917 1033
%e A251716 .  23  83 | 173 175 177 182 321 360 555 577 711 723  843  898  988 1083
%e A251716 .  24  89 | 192 194 196 333 382 512 585 641 771 800  933  972 1075 1155
%e A251716 .  25  97 | 202 204 206 211 370 426 631 695 802 844 1052 1092 1177 1266
%e A251716 .  ---------------------------------------------------------------------
%e A251716 See table A251637 for A098550(T(n,k)).
%o A251716 (Haskell) seen as table read by rows:
%o A251716 a251716 n k = a251716_tabl !! (n-1) !! (k-1)
%o A251716 a251716_row n = a251716_tabl !! (n-1)
%o A251716 a251716_tabl = map (map a098551) a251637_tabl
%Y A251716 Cf. A098550, A098551, A251637, A251237 (first row), A251553 (second row).
%Y A251716 Cf. A251541 (first column).
%K A251716 nonn,tabl
%O A251716 1,1
%A A251716 _Reinhard Zumkeller_, Dec 09 2014