n^2+n - Page 6

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Carréphylic classes: n²+n

Note that the q/t fractions immediately precede the sp-blocks, that their v-value decreases with steps of 1 over 'n' and that all approximations except the s/p-fractions are below the root-value.
Compare n²-1.

√2

1	0	1	3	4	7	17	24	41	99	140	239	577	816	1393	3363	4756	8119	19601	27720	47321	114243	161564	275807	665857	941664	1607521	3880899	5488420	9369319	22619537	31988856	54608393	131836323	186444716	...
0	1	1	2	3	5	12	17	29	70	99	169	408	577	985	2378	3363	5741	13860	19601	33461	80782	114243	195025	470832	665857	1136689	2744210	3880899	6625109	15994428	22619537	38613965	93222358	131836323	...

√6

1	0	1	2	5	12	17	22	49	120	169	218	485	1188	1673	2158	4801	11760	16561	21362	47525	116412	163937	211462	470449	1152360	1622809	2093258	4656965	11407188	...
0	1	1	1	2	5	7	9	20	49	69	89	198	485	683	881	1960	4801	6761	8721	19402	47525	66927	86329	192060	470449	662509	854569	1901198	4656965	...

√12

1	0	1	2	3	7	24	31	38	45	97	336	433	530	627	1351	4680	6031	7382	8733	18817	65184	84001	102818	121635	262087	907896	1169983	1432070	1694157	3650401	12645360	16295761	19946162	23596563	50843527	176127144	...
0	1	1	1	1	2	7	9	11	13	28	97	125	153	181	390	1351	1741	2131	2521	5432	18817	24249	29681	35113	75658	262087	337745	413403	489061	1053780	3650401	4704181	5757961	6811741	14677262	50843527	...

√20

1	0	1	2	3	4	9	40	49	58	67	76	161	720	881	1042	1203	1364	2889	12920	15809	18698	21587	24476	51841	231840	283681	335522	387363	439204	930249	4160200	5090449	6020698	6950947	7881196	16692641	74651760	91344401	108037042	124729683	141422324	299537289	1339571480	1639108769	1938646058	2238183347	2537720636	5374978561	24037634880	...
0	1	1	1	1	1	2	9	11	13	15	17	36	161	197	233	269	305	646	2889	3535	4181	4827	5473	11592	51841	63433	75025	86617	98209	208010	930249	1138259	1346269	1554279	1762289	3732588	16692641	20425229	24157817	27890405	31622993	66978574	299537289	366515863	433494437	500473011	567451585	1201881744	5374978561	...

√30

1	0	1	2	3	4	5	11	60	71	82	93	104	115	241	1320	1561	1802	2043	2284	2525	5291	28980	34271	39562	44853	50144	55435	116161	636240	752401	868562	984723	1100884	1217045	2550251	13968300	16518551	19068802	21619053	24169304	26719555	55989361	306666360	...
0	1	1	1	1	1	1	2	11	13	15	17	19	21	44	241	285	329	373	417	461	966	5291	6257	7223	8189	9155	10121	21208	116161	137369	158577	179785	200993	222201	465610	2550251	3015861	3481471	3947081	4412691	4878301	10222212	55989361	...

√42

1	0	1	2	3	4	5	6	13	84	97	110	123	136	149	162	337	2184	2521	2858	3195	3532	3869	4206	8749	56700	65449	74198	82947	91696	100445	109194	227137	1472016	1699153	1926290	2153427	2380564	2607701	2834838	5896813	38215716	44112529	50009342	55906155	61802968	67699781	73596594	153090001	992136600	...
0	1	1	1	1	1	1	1	2	13	15	17	19	21	23	25	52	337	389	441	493	545	597	649	1350	8749	10099	11449	12799	14149	15499	16849	35048	227137	262185	297233	332281	367329	402377	437425	909898	5896813	6806711	7716609	8626507	9536405	10446303	11356201	23622300	153090001	...

√56

1	0	1	2	3	4	5	6	7	15	112	127	142	157	172	187	202	217	449	3360	3809	4258	4707	5156	5605	6054	6503	13455	100688	114143	127598	141053	154508	167963	181418	194873	403201	3017280	3420481	3823682	4226883	4630084	5033285	5436486	5839687	12082575	90417712	102500287	114582862	126665437	138748012	150830587	162913162	174995737	362074049	2709514080	...
0	1	1	1	1	1	1	1	1	2	15	17	19	21	23	25	27	29	60	449	509	569	629	689	749	809	869	1798	13455	15253	17051	18849	20647	22445	24243	26041	53880	403201	457081	510961	564841	618721	672601	726481	780361	1614602	12082575	13697177	15311779	16926381	18540983	20155585	21770187	23384789	48384180	362074049	...

√72

1	0	1	2	3	4	5	6	7	8	17	144	161	178	195	212	229	246	263	280	577	4896	5473	6050	6627	7204	7781	8358	8935	9512	19601	166320	185921	205522	225123	244724	264325	283926	303527	323128	665857	5649984	...
0	1	1	1	1	1	1	1	1	1	2	17	19	21	23	25	27	29	31	33	68	577	645	713	781	849	917	985	1053	1121	2310	19601	21911	24221	26531	28841	31151	33461	35771	38081	78472	665857	...

√90

1	0	1	2	3	4	5	6	7	8	9	19	180	199	218	237	256	275	294	313	332	351	721	6840	...
0	1	1	1	1	1	1	1	1	1	1	2	19	21	23	25	27	29	31	33	35	37	76	721	...

√110

1	0	1	2	3	4	5	6	7	8	9	10	21	220	241	262	283	304	325	346	367	388	409	430	881	9240	...
0	1	1	1	1	1	1	1	1	1	1	1	2	21	23	25	27	29	31	33	35	37	39	41	84	881	...

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