Initial Happy Factorization Data
--------------------------------

   t : A007968
   x : A007966             
   y : A007967
   t=1 : v : A191860
   t=2 : v : A191862
   t=1 : w : A191861
   t=2 : w : A191863

   x * y = n
   x*v^2 + t = y*w^2
              
n  t x y v w
-------------------------------
0 (0,0,0,0,0)
1 (0,1,1,1,1)
2 (1,1,2,1,1)
3 (2,1,3,1,1)
4 (0,2,2,2,2)
5 (1,1,5,2,1)
6 (1,2,3,1,1)
7 (2,7,1,1,3)
8 (2,2,4,1,1)
9 (0,3,3,3,3)
10 (1,1,10,3,1)
11 (2,1,11,3,1)
12 (1,3,4,1,1)
13 (1,1,13,18,5)
14 (1,7,2,1,2)
15 (2,3,5,1,1)
16 (0,4,4,4,4)
17 (1,1,17,4,1)
18 (1,2,9,2,1)
19 (2,1,19,13,3)
20 (1,4,5,1,1)
21 (1,3,7,3,2)
22 (1,2,11,7,3)
23 (2,23,1,1,5)
24 (2,4,6,1,1)
25 (0,5,5,5,5)
26 (1,1,26,5,1)
27 (2,1,27,5,1)
28 (1,7,4,3,4)
29 (1,1,29,70,13)
30 (1,5,6,1,1)
31 (2,31,1,7,39)
32 (2,16,2,1,3)
33 (1,11,3,1,2)
34 (1,17,2,1,3)
35 (2,5,7,1,1)
36 (0,6,6,6,6)
37 (1,1,37,6,1)
38 (1,2,19,3,1)
39 (1,3,13,2,1)
40 (2,2,20,3,1)
41 (1,1,41,32,5)
42 (1,6,7,1,1)
43 (2,1,43,59,9)
44 (1,11,4,3,5)
45 (1,5,9,4,3)
46 (1,23,2,23,78)
47 (2,47,1,1,7)
48 (2,6,8,1,1)
49 (0,7,7,7,7)
50 (1,1,50,7,1)
51 (2,1,51,7,1)
52 (1,4,13,9,5)
53 (1,1,53,182,25)
54 (1,2,27,11,3)
55 (1,11,5,2,3)
56 (1,7,8,1,1)
57 (1,3,19,5,2)
58 (1,1,58,99,13)
59 (2,1,59,23,3)
60 (1,15,4,1,2)
61 (1,1,61,29718,3805)
62 (1,31,2,1,4)
63 (2,7,9,1,1)
64 (0,8,8,8,8)
65 (1,1,65,8,1)
66 (1,2,33,4,1)
67 (2,1,67,221,27)
68 (1,4,17,2,1)
69 (1,23,3,13,36)
70 (1,5,14,5,3)
71 (2,71,1,7,59)
72 (1,8,9,1,1)
73 (1,1,73,1068,125)
74 (1,1,74,43,5)
75 (2,25,3,1,3)
76 (1,19,4,39,85)
77 (1,7,11,5,4)
78 (1,26,3,1,3)
79 (2,79,1,1,9)
80 (2,8,10,1,1)
81 (0,9,9,9,9)
82 (1,1,82,9,1)
83 (2,1,83,9,1)
84 (1,3,28,3,1)
85 (1,1,85,378,41)
86 (1,2,43,51,11)
87 (2,3,29,3,1)
88 (2,4,22,7,3)
89 (1,1,89,500,53)
90 (1,9,10,1,1)
91 (2,13,7,11,15)
92 (1,23,4,5,12)
93 (1,3,31,45,14)
94 (1,47,2,151,732)
95 (1,19,5,1,2)
96 (2,48,2,1,5)
97 (1,1,97,5604,569)
98 (1,49,2,1,5)
99 (2,9,11,1,1)
100 (0,10,10,10,10)
101 (1,1,101,10,1)
102 (1,2,51,5,1)
103 (2,103,1,47,477)
104 (2,2,52,5,1)
105 (1,5,21,2,1)
106 (1,1,106,4005,389)
107 (2,1,107,31,3)
108 (1,27,4,5,13)
109 (1,1,109,8890182,851525)
110 (1,10,11,1,1)
111 (1,3,37,7,2)
112 (1,7,16,3,2)
113 (1,1,113,776,73)
114 (1,2,57,16,3)
115 (2,5,23,15,7)
116 (1,4,29,35,13)
117 (1,9,13,6,5)
118 (1,2,59,277,51)
119 (2,119,1,1,11)
120 (2,10,12,1,1)
121 (0,11,11,11,11)
122 (1,1,122,11,1)
123 (2,1,123,11,1)
124 (1,31,4,273,760)
125 (1,1,125,682,61)
126 (1,14,9,4,5)
127 (2,127,1,193,2175)
128 (2,64,2,3,17)
129 (1,3,43,53,14)
130 (1,1,130,57,5)
131 (2,1,131,103,9)
132 (1,11,12,1,1)
133 (1,19,7,261,430)
134 (1,2,67,191,33)
135 (2,27,5,3,7)
136 (2,34,4,1,3)
137 (1,1,137,1744,149)
138 (1,23,6,1,2)
139 (2,1,139,8807,747)
140 (1,35,4,1,3)
141 (1,47,3,1,4)
142 (1,71,2,1,6)
143 (2,11,13,1,1)
144 (0,12,12,12,12)
145 (1,1,145,12,1)
146 (1,2,73,6,1)
147 (1,3,49,4,1)
148 (1,4,37,3,1)
149 (1,1,149,113582,9305)
150 (1,6,25,2,1)
151 (2,151,1,3383,41571)
152 (2,4,38,3,1)
153 (1,17,9,8,11)
154 (1,7,22,39,22)
155 (1,31,5,2,5)
156 (1,12,13,1,1)
157 (1,1,157,4832118,385645)
158 (1,79,2,7,44)
159 (2,3,53,21,5)
160 (2,80,2,3,19)
161 (1,7,23,29,16)
162 (1,2,81,70,11)
163 (2,1,163,8005,627)
164 (1,4,41,16,5)
165 (1,11,15,7,6)
166 (1,2,83,20621,3201)
167 (2,167,1,1,13)
168 (2,12,14,1,1)
169 (0,13,13,13,13)
170 (1,1,170,13,1)
171 (2,1,171,13,1)
172 (1,43,4,531,1741)
173 (1,1,173,1118,85)
174 (1,29,6,5,11)
175 (2,7,25,17,9)
176 (2,22,8,3,5)
177 (1,59,3,23,102)
178 (1,2,89,20,3)
179 (2,1,179,2047,153)
180 (1,20,9,2,3)
181 (1,1,181,1111225770,82596761)
182 (1,13,14,1,1)
183 (1,3,61,9,2)
184 (1,23,8,23,39)
185 (1,1,185,68,5)
186 (1,6,31,25,11)
187 (2,1,187,41,3)
188 (1,47,4,7,24)
189 (1,27,7,1,2)
190 (1,10,19,51,37)
191 (2,191,1,217,2999)
192 (2,96,2,1,7)
193 (1,1,193,1764132,126985)
194 (1,97,2,1,7)
195 (2,13,15,1,1)
196 (0,14,14,14,14)
197 (1,1,197,14,1)
198 (1,2,99,7,1)
199 (2,199,1,9041,127539)
200 (2,2,100,7,1)
201 (1,3,67,293,62)
202 (1,1,202,3141,221)
203 (1,7,29,2,1)
204 (1,51,4,7,25)
205 (1,41,5,22,63)
206 (1,103,2,17,122)
207 (1,23,9,5,8)
208 (2,8,26,9,5)
209 (1,19,11,35,46)
210 (1,14,15,1,1)
211 (2,1,211,527593,36321)
212 (1,4,53,91,25)
213 (1,71,3,37,180)
214 (1,2,107,416941,57003)
215 (2,43,5,1,3)
216 (2,4,54,11,3)
217 (1,31,7,249,524)
218 (1,1,218,251,17)
219 (2,73,3,1,5)
220 (1,44,5,1,3)
221 (1,13,17,8,7)
222 (1,74,3,1,5)
223 (2,223,1,1,15)
224 (2,14,16,1,1)
225 (0,15,15,15,15)
226 (1,1,226,15,1)
227 (2,1,227,15,1)
228 (1,3,76,5,1)
229 (1,1,229,1710,113)
230 (1,5,46,3,1)
231 (2,3,77,5,1)
232 (2,2,116,99,13)
233 (1,1,233,23156,1517)
234 (1,26,9,10,17)
235 (2,5,47,3,1)
236 (1,59,4,69,265)
237 (1,3,79,195,38)
238 (1,119,2,7,54)
239 (2,239,1,161,2489)
240 (1,15,16,1,1)
241 (1,1,241,71011068,4574225)
242 (1,2,121,70,9)
243 (2,1,243,265,17)
244 (1,4,61,14859,3805)
245 (1,5,49,72,23)
246 (1,2,123,149,19)
247 (2,19,13,67,81)
248 (1,31,8,1,2)
249 (1,83,3,227,1194)
250 (1,1,250,4443,281)

-------------------------------
Reinhard Zumkeller, Jun 18 2011
reinhard.zumkeller@gmail.com