# This b-file was computed by Antti Karttunen, 2024-11-14
# in GP/PARI CALCULATOR Version 2.9.4 (released) amd64 running linux (x86-64/GMP-6.1.2 kernel) 64-bit version, compiled: Dec 19 2017, gcc version 7.3.0 (Ubuntu 7.3.0-1ubuntu1), threading engine: pthread
# with the following program:
#
# up_to = (2*210)-1; \\ The primorial base expansion of up_to must be "full" (maximal digits), apart from the most significant digit.
# A002110(n) = prod(i=1,n,prime(i));
# A276085(n) = { my(f = factor(n), pr=1, i=1, s=0); for(k=1, #f~, while(i <= primepi(f[k, 1])-1, pr *= prime(i); i++); s += f[k, 2]*pr); (s); };
# A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
# A359550(n) = { my(pp); forprime(p=2, , pp = p^p; if(!(n%pp), return(0)); if(pp > n, return(1))); };
# A376411list(up_to) = { my(size=up_to, v=vector(size), m=A276086(size), s=1, j); for(i=2,m,if(!(m%i), j=A276085(i); v[j] = s; print1("i=",i," v[",j,"]=",s", ");); s += A359550(i)); (v); };
# v376411 = A376411list(up_to);
# A376411(n) = if(!n,n,v376411[n]);
# for(n=0,up_to,write("b376411_upto419.txt", n, " ", A376411(n)));
0 0
1 1
2 2
3 4
4 6
5 13
6 3
7 7
8 11
9 21
10 32
11 64
12 18
13 36
14 54
15 108
16 162
17 325
18 90
19 180
20 271
21 541
22 812
23 1624
24 450
25 902
26 1354
27 2707
28 4061
29 8122
30 5
31 10
32 15
33 30
34 45
35 91
36 25
37 50
38 75
39 151
40 227
41 454
42 126
43 253
44 378
45 758
46 1137
47 2274
48 632
49 1264
50 1895
51 3790
52 5685
53 11370
54 3158
55 6317
56 9475
57 18952
58 28428
59 56856
60 35
61 70
62 106
63 212
64 318
65 637
66 176
67 353
68 530
69 1061
70 1592
71 3183
72 884
73 1769
74 2653
75 5306
76 7959
77 15919
78 4422
79 8844
80 13267
81 26532
82 39799
83 79598
84 22110
85 44221
86 66333
87 132666
88 198999
89 397998
90 248
91 495
92 742
93 1486
94 2229
95 4458
96 1238
97 2475
98 3714
99 7428
100 11144
101 22287
102 6191
103 12381
104 18573
105 37146
106 55719
107 111439
108 30955
109 61910
110 92865
111 185732
112 278597
113 557196
114 154777
115 309553
116 464330
117 928660
118 1392989
119 2785980
120 1734
121 3467
122 5200
123 10401
124 15601
125 31203
126 8667
127 17334
128 26002
129 52003
130 78007
131 156014
132 43335
133 86674
134 130013
135 260024
136 390038
137 780074
138 216687
139 433375
140 650061
141 1300123
142 1950185
143 3900371
144 1083436
145 2166873
146 3250310
147 6500619
148 9750929
149 19501859
150 12134
151 24269
152 36402
153 72807
154 109210
155 218422
156 60672
157 121345
158 182017
159 364034
160 546051
161 1092103
162 303361
163 606724
164 910085
165 1820172
166 2730259
167 5460520
168 1516810
169 3033622
170 4550433
171 9100866
172 13651300
173 27302601
174 7584056
175 15168111
176 22752168
177 45504337
178 68256505
179 136513010
180 84941
181 169882
182 254825
183 509649
184 764472
185 1528946
186 424707
187 849414
188 1274121
189 2548242
190 3822363
191 7644728
192 2123534
193 4247070
194 6370606
195 12741213
196 19111821
197 38223644
198 10617678
199 21235356
200 31853036
201 63706070
202 95559107
203 191118214
204 53088394
205 106176786
206 159265179
207 318530358
208 477795538
209 955591077
210 8
211 16
212 23
213 47
214 71
215 142
216 39
217 79
218 118
219 238
220 357
221 715
222 198
223 397
224 595
225 1191
226 1787
227 3573
228 993
229 1986
230 2978
231 5956
232 8934
233 17869
234 4963
235 9927
236 14890
237 29781
238 44672
239 89345
240 55
241 111
242 167
243 333
244 500
245 1000
246 277
247 556
248 834
249 1668
250 2501
251 5003
252 1389
253 2779
254 4170
255 8338
256 12508
257 25015
258 6948
259 13898
260 20847
261 41694
262 62542
263 125085
264 34744
265 69492
266 104236
267 208475
268 312712
269 625423
270 389
271 778
272 1167
273 2334
274 3502
275 7003
276 1946
277 3891
278 5836
279 11674
280 17511
281 35023
282 9728
283 19457
284 29186
285 58372
286 87559
287 175118
288 48643
289 97287
290 145932
291 291864
292 437797
293 875594
294 243221
295 486441
296 729660
297 1459322
298 2188983
299 4377967
300 2723
301 5447
302 8171
303 16343
304 24516
305 49032
306 13619
307 27240
308 40860
309 81722
310 122583
311 245167
312 68101
313 136203
314 204306
315 408610
316 612915
317 1225829
318 340508
319 681017
320 1021526
321 2043051
322 3064577
323 6129155
324 1702543
325 3405086
326 5107630
327 10215258
328 15322888
329 30645777
330 19068
331 38137
332 57204
333 114410
334 171616
335 343232
336 95342
337 190686
338 286027
339 572055
340 858082
341 1716164
342 476712
343 953424
344 1430136
345 2860272
346 4290408
347 8580815
348 2383561
349 4767121
350 7150680
351 14301362
352 21452044
353 42904089
354 11917802
355 23835605
356 35753407
357 71506814
358 107260222
359 214520445
360 133478
361 266958
362 400439
363 800876
364 1201314
365 2402629
366 667396
367 1334793
368 2002189
369 4004381
370 6006571
371 12013145
372 3336983
373 6673968
374 10010953
375 20021907
376 30032861
377 60065724
378 16684922
379 33369847
380 50054771
381 100109542
382 150164312
383 300328624
384 83424617
385 166849236
386 250273854
387 500547707
388 750821560
389 1501643120
390 934355
391 1868710
392 2803067
393 5606134
394 8409200
395 16818402
396 4671777
397 9343556
398 14015334
399 28030670
400 42046007
401 84092014
402 23358893
403 46717785
404 70076678
405 140153356
406 210230037
407 420460073
408 116794466
409 233588930
410 350383395
411 700766790
412 1051150184
413 2102300370
414 583972324
415 1167944648
416 1751916973
417 3503833950
418 5255750924
419 10511501849