n^2-2 - Page 2

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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	...

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