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Carréphylic classes: n2-2

Here are the first 10 carréphylic numbers of the form n2-2 with the usual data.
Note that all fractions except the s/p- and t/q-fractions are below the root-value.
A nice tq-pattern over even and odd squares.
 For all t/q fractions involved: v = 2 For q/t-fractions 'q' follows: U(1,7,4)2 1, 7, 17, 31, 49, 71, ... while 'v' follows its negative: U(-1,-7,-4)2 -1, -7, -17, -31, -49, -71, ...

√7
 1 0 1 2 3 5 8 21 29 37 45 82 127 336 463 590 717 1307 2024 5355 7379 9403 11427 20830 32257 85344 117601 149858 182115 331973 514088 1360149 1874237 2388325 2902413 5290738 8193151 21677040 29870191 38063342 46256493 84319835 130576328 345472491 ... 0 1 1 1 1 2 3 8 11 14 17 31 48 127 175 223 271 494 765 2024 2789 3554 4319 7873 12192 32257 44449 56641 68833 125474 194307 514088 708395 902702 1097009 1999711 3096720 8193151 11289871 14386591 17483311 31869902 49353213 130576328 ...

√14
 1 0 1 2 3 4 7 11 15 56 71 86 101 116 217 333 449 1680 2129 2578 3027 3476 6503 9979 13455 50344 63799 77254 90709 104164 194873 299037 403201 1508640 1911841 2315042 2718243 3121444 5839687 8961131 12082575 45208856 ... 0 1 1 1 1 1 2 3 4 15 19 23 27 31 58 89 120 449 569 689 809 929 1738 2667 3596 13455 17051 20647 24243 27839 52082 79921 107760 403201 510961 618721 726481 834241 1560722 2394963 3229204 12082575 ...

√23
 1 0 1 2 3 4 5 14 19 24 115 139 163 187 211 235 681 916 1151 5520 6671 7822 8973 10124 11275 32674 43949 55224 264845 320069 375293 430517 485741 540965 1567671 2108636 2649601 12707040 15356641 18006242 20655843 23305444 25955045 75215534 101170579 127125624 609673075 ... 0 1 1 1 1 1 1 3 4 5 24 29 34 39 44 49 142 191 240 1151 1391 1631 1871 2111 2351 6813 9164 11515 55224 66739 375293 89769 101284 112799 326882 439681 552480 2649601 3202081 3754561 4307041 4859521 5412001 15683523 21095524 26507525 127125624 ...

√34
 1 0 1 2 3 4 5 6 17 23 29 35 204 239 274 309 344 379 414 1207 1621 2035 2449 14280 16729 19178 21627 24076 26525 28974 84473 113447 142421 171395 999396 1170791 1342186 1513581 1684976 1856371 2027766 5911903 7939669 9967435 11995201 69943440 ... 0 1 1 1 1 1 1 1 3 4 5 6 35 41 47 53 59 65 71 207 278 349 420 2449 2869 3289 3709 4129 4549 4969 14487 19456 24425 29394 171395 200789 230183 259577 288971 318365 347759 1013883 1361642 1709401 2057160 11995201 ...

√47
 1 0 1 2 3 4 5 6 7 27 34 41 48 329 377 425 473 521 569 617 665 2612 3277 3942 4607 31584 36191 40798 45405 50012 54619 59226 63833 250725 314558 378391 442224 3031735 3473959 3916183 4358407 4800631 5242855 5685079 6127303 24066988 30194291 36321594 42448897 291014976 ... 0 1 1 1 1 1 1 1 1 4 5 6 7 48 55 62 69 76 83 90 97 381 478 575 672 4607 5279 5951 6623 7295 7967 8639 9311 36572 45883 55194 64505 442224 506729 571234 635739 700244 764749 829254 893759 3510531 4404290 5298049 6191808 42448897 ...

√62
 1 0 1 2 3 4 5 6 7 8 31 39 47 55 63 496 559 622 685 748 811 874 937 1000 3937 4937 5937 6937 7937 62496 70433 78370 86307 94244 102181 110118 118055 125992 490631 622023 748015 874007 999999 7874000 ... 0 1 1 1 1 1 1 1 1 1 4 5 6 7 8 63 71 79 87 95 103 111 119 127 500 627 754 881 1008 7937 8945 9953 10961 11969 12977 13985 14993 16001 62996 78997 94998 110999 127000 999999 ...

√79
 1 0 1 2 3 4 5 6 7 8 9 44 53 62 71 80 711 791 871 951 1031 1111 1191 1271 1351 1431 7075 8506 9937 11368 12799 113760 ... 0 1 1 1 1 1 1 1 1 1 1 5 6 7 8 9 80 89 98 107 116 125 134 143 152 161 796 957 1118 1279 1440 12799 ...

√98
 1 0 1 2 3 4 5 6 7 8 9 10 49 59 69 79 89 99 980 1079 1178 1277 1376 1475 1574 1673 1772 1871 1970 9751 11721 13691 15661 17631 19601 194040 ... 0 1 1 1 1 1 1 1 1 1 1 1 5 6 7 8 9 10 99 109 119 129 139 149 159 169 179 189 199 985 1184 1383 1582 1781 1980 19601 ...

√119
 1 0 1 2 3 4 5 6 7 8 9 10 11 65 76 87 98 109 120 1309 1429 1549 1669 1789 1909 2029 2149 2269 2389 2509 2629 15654 18283 20912 23541 26170 28799 314160 ... 0 1 1 1 1 1 1 1 1 1 1 1 1 6 7 8 9 10 11 120 131 142 153 164 175 186 197 208 219 230 241 1435 1676 1917 2158 2399 2640 28799 ...

√142
 1 0 1 2 3 4 5 6 7 8 9 10 11 12 71 83 95 107 119 131 143 1704 1847 1990 2133 2276 2419 2562 2705 2848 2991 3134 3277 3420 20377 23797 27217 30637 34057 37477 40897 487344 ... 0 1 1 1 1 1 1 1 1 1 1 1 1 1 6 7 8 9 10 11 12 143 155 167 179 191 203 215 227 239 251 263 275 287 1710 1997 2284 2571 2858 3145 3432 40897 ...