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Carréphylic classes: n2+n/2 (for even n)
Here are the first 6 carréphylic numbers of the form n2+n/2 (for even n) with the usual data.
The first non-trivial sp-blocks follow a simple pattern (4n+1)/n. The qt-blocks follow an even simpler one: n/1.
Their v-value equals -n/2.
√5
1 | 0 | 1 | 2 | 7 | 9 | 20 | 29 | 38 | 123 | 161 | 360 | 521 | 682 | 2207 | 2889 | 6460 | 9349 | 12238 | 39603 | 51841 | 115920 | 167761 | 219602 | 710647 | 930249 | 2080100 | 3010349 | 3940598 | 12752043 | 16692641 | 37325880 | 54018521 | 70711162 | 228826127 | 299537289 | 669785740 | ... |
0 | 1 | 1 | 1 | 3 | 4 | 9 | 13 | 17 | 55 | 72 | 161 | 233 | 305 | 987 | 1292 | 2889 | 4181 | 5473 | 17711 | 23184 | 51841 | 75025 | 98209 | 317811 | 416020 | 930249 | 1346269 | 1762289 | 5702887 | 7465176 | 16692641 | 24157817 | 31622993 | 102334155 | 133957148 | 299537289 | ... |
√18
1 | 0 | 1 | 2 | 3 | 4 | 13 | 17 | 72 | 89 | 106 | 123 | 140 | 437 | 577 | 2448 | 3025 | 3602 | 4179 | 4756 | 14845 | 19601 | 83160 | 102761 | 122362 | 141963 | 161564 | 504293 | 665857 | 2824992 | 3490849 | 4156706 | 4822563 | 5488420 | 17131117 | 22619537 | 95966568 | ... |
0 | 1 | 1 | 1 | 1 | 1 | 3 | 4 | 17 | 21 | 25 | 29 | 33 | 103 | 136 | 577 | 713 | 849 | 985 | 1121 | 3499 | 4620 | 19601 | 24221 | 28841 | 33461 | 38081 | 118863 | 156944 | 665857 | 822801 | 979745 | 1136689 | 1293633 | 4037843 | 5331476 | 22619537 | ... |
√39
1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 19 | 25 | 156 | 181 | 206 | 231 | 256 | 281 | 306 | 943 | 1249 | 7800 | 9049 | 10298 | 11547 | 12796 | 14045 | 15294 | 47131 | 62425 | 389844 | 452269 | 514694 | 577119 | 639544 | 701969 | 764394 | 2355607 | 3120001 | 19484400 | 22604401 | 25724402 | 28844403 | 31964404 | 35084405 | 38204406 | 117733219 | 155937625 | 973830156 | ... |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 3 | 4 | 25 | 29 | 33 | 37 | 41 | 45 | 49 | 151 | 200 | 1249 | 1449 | 1649 | 1849 | 2049 | 2249 | 2449 | 7547 | 9996 | 62425 | 72421 | 82417 | 92413 | 102409 | 112405 | 122401 | 377199 | 499600 | 3120001 | 3619601 | 4119201 | 4618801 | 5118401 | 5618001 | 6117601 | 18852403 | 24970004 | 155937625 | ... |
√68
1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 25 | 33 | 272 | 305 | 338 | 371 | 404 | 437 | 470 | 503 | 536 | 1641 | 2177 | 17952 | 20129 | 22306 | 24483 | 26660 | 28837 | 31014 | 33191 | 35368 | 108281 | 143649 | 1184560 | ... |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 3 | 4 | 33 | 37 | 41 | 45 | 49 | 53 | 57 | 61 | 65 | 199 | 264 | 2177 | 2441 | 2705 | 2969 | 3233 | 3497 | 3761 | 4025 | 4289 | 13131 | 17420 | 143649 | ... |
√105
1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 31 | 41 | 420 | 461 | 502 | 543 | 584 | 625 | 666 | 707 | 748 | 789 | 830 | 2531 | 3361 | 34440 | ... |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 3 | 4 | 41 | 45 | 49 | 53 | 57 | 61 | 65 | 69 | 73 | 77 | 81 | 247 | 328 | 3361 | ... |
√150
1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 37 | 49 | 600 | 649 | 698 | 747 | 796 | 845 | 894 | 943 | 992 | 1041 | 1090 | 1139 | 1188 | 3613 | 4801 | 58800 | ... |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 3 | 4 | 49 | 53 | 57 | 61 | 65 | 69 | 73 | 77 | 81 | 85 | 89 | 93 | 97 | 295 | 392 | 4801 | ... |