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Sequence Machine

Mathematical conjectures on top of 1308117 machine generated integer and decimal sequences.

Found 1 matches.

A206787

Sum of the odd squarefree divisors of n. A206787

1, 1, 4, 1, 6, 4, 8, 1, 4, 6, 12, 4, 14, 8, 24, 1, 18, 4, 20, 6, 32, 12, 24, 4, 6, 14, 4, 8, 30, 24, 32, 1, 48, 18, 48, 4, 38, 20, 56, 6, 42, 32, 44, 12, 24, 24, 48, 4, 8, 6, 72, 14, 54, 4, 72, 8, 80, 30, 60, 24, 62, 32, 32, 1, 84, 48, 68, 18, 96, 48, 72, 4, 74, 38, 24, 20, 96, 56, 80, 6, 4, 42, 84, 32, 108, 44, 120, 12, 90, 24, 112, 24, 128, 48, 120, 4, 98, 8, 48, 6, 102, 72, 104, 14, 192, 54, 108, 4, 110, 72, 152, 8, 114, 80, 144, 30, 56, 60, 144, 24, 12, 62, 168, 32, 6, 32, 128, 1, 176, 84, 132, 48, 160, 68, 24, 18, 138, 96, 140, 48, 192, 72, 168, 4, 180, 74, 32, 38, 150, 24, 152, 20, 72, 96, 192, 56, 158, 80, 216, 6, 192, 4, 164, 42, 288, 84, 168, 32, 14, 108, 80, 44, 174, 120, 48, 12, 240, 90, 180, 24, 182, 112, 248, 24, 228, 128, 216, 48, 32, 120, 192, 4, 194, 98, 336, 8, 198, 48, 200, 6, 272, 102, 240, 72, 252, 104, 96, 14, 240, 192, 212, 54, 288, 108, 264, 4, 256, 110, 296, 72, 252, 152, 224, 8, 24, 114, 228, 80, 230, 144, 384, 30, 234, 56, 288, 60, 320, 144, 240, 24, 242, 12, 4, 62, 48, 168, 280, 32, 336, 6, 252, 32, 288, 128, 432, 1, 258, 176, 304, 84, 120, 132, 264, 48, 324, 160, 360, 68, 270, 24, 272, 18, 448, 138, 72, 96, 278, 140, 128, 48, 282, 192, 284, 72, 480, 168, 336, 4, 18, 180, 392, 74, 294, 32, 360, 38, 48, 150, 336, 24, 352, 152, 408, 20, 372, 72, 308, 96, 416, 192, 312, 56, 314, 158, 192, 80, 318, 216, 360, 6, 432, 192, 360, 4, 84, 164, 440, 42, 384, 288, 332, 84, 152, 168, 408, 32, 338, 14, 456, 108, 384, 80, 8, 44, 576, 174, 348, 120, 350, 48, 56, 12, 354, 240, 432, 90, 576, 180, 360, 24, 20, 182, 48, 112, 444, 248, 368, 24, 168, 228, 432, 128, 374, 216, 24, 48, 420, 32, 380, 120, 512, 192, 384, 4, 576, 194, 176, 98, 390, 336, 432, 8, 528, 198, 480, 48, 398, 200, 640, 6, 402, 272, 448, 102, 24, 240, 456, 72, 410, 252, 552, 104, 480, 96, 504, 14, 560, 240, 420, 192, 422, 212, 192, 54, 108, 288, 496, 108, 672, 264, 432, 4, 434, 256, 720, 110, 480, 296, 440, 72, 32, 252, 444, 152, 540, 224, 600, 8, 450, 24, 504, 114, 608, 228, 672, 80, 458, 230, 72, 144, 462, 384, 464, 30, 768, 234, 468, 56, 544, 288, 632, 60, 528, 320, 120, 144, 216, 240, 480, 24, 532, 242, 768, 12, 588, 4, 488, 62, 656, 48, 492, 168, 540, 280, 288, 32, 576, 336, 500, 6,

integer, !monotonic, +

a(n)=∏{p}[n+1, -xor(1, -#)]
10000 terms ✓
a(n)=∏{p}[n+1, #-(-1)^#]
10000 terms ✓
a(n)=∑{d}[A204455(n+1), #]
10000 terms ✓
a(n)=A000593(∏{p}[n+1, #])
10000 terms ✓
a(n)=A113184(∏{p}[n+1, #])
10000 terms ✓
a(n)=A192066(∏{p}[n+1, #])
10000 terms ✓
a(n)=A300894(∏{p}[n+1, #])
10000 terms ✓
a(n)=A327095(∏{p}[n+1, #])
10000 terms ✓
a(n)=A319697(2*(n+1))/2
10000 terms ✓
a(n)=∑{d}[n+1, #*A323239(#)]
10000 terms ✓
a(n)=A000203(∏{p}[2*(n+1), #]/2)
10000 terms ✓
a(n)=∏{p}[n+2+n, A000203(#)]/3
10000 terms ✓
a(n)=A000593(A007947(n+1))
10000 terms ✓
a(n)=A048250(A000265(n+1))
10000 terms ✓
a(n)=A000113(A204455(n+1))
10000 terms ✓
a(n)=A300894(A065883(n+1))
10000 terms ✓
a(n)=A000203(A099985(n+1)/2)
10000 terms ✓
a(n)=A001615(A099985(n+1)/2)
10000 terms ✓
a(n)=A033634(A099985(n+1)/2)
10000 terms ✓
a(n)=A048250(n+1)/A010684(n)
10000 terms ✓
Reference

Charts

Terms

nA206787(n+1)Match
01
11
24
31
46
54
68
71
84
96
1012
114
1214
138
1424
151
1618
174
1820
196
2032
2112
2224
234
246
2514
264
278
2830
2924
3032
311
3248
3318
3448
354
3638
3720
3856
396
4042
4132
4244
4312
4424
4524
4648
474
488
496
5072
5114
5254
534
5472
558
5680
5730
5860
5924
6062
6132
6232
631
6484
6548
6668
6718
6896
6948
7072
714
7274
7338
7424
7520
7696
7756
7880
796
804
8142
8284
8332
84108
8544
86120
8712
8890
8924
90112
9124
92128
9348
94120
954
9698
978
9848
996
100102
10172
102104
10314
104192
10554
106108
1074
108110
10972
110152
1118
112114
11380
114144
11530
11656
11760
118144
11924
12012
12162
122168
12332
1246
12532
126128
1271
128176
12984
130132
13148
132160
13368
13424
13518
136138
13796
138140
13948
140192
14172
142168
1434
144180
14574
14632
14738
148150
14924
150152
15120
15272
15396
154192
15556
156158
15780
158216
1596
160192
1614
162164
16342
164288
16584
166168
16732
16814
169108
17080
17144
172174
173120
17448
17512
176240
17790
178180
17924
180182
181112
182248
18324
184228
185128
186216
18748
18832
189120
190192
1914
192194
19398
194336
1958
196198
19748
198200
1996
200272
201102
202240
20372
204252
205104
20696
20714
208240
209192
210212
21154
212288
213108
214264
2154
216256
217110
218296
21972
220252
221152
222224
2238
22424
225114
226228
22780
228230
229144
230384
23130
232234
23356
234288
23560
236320
237144
238240
23924
240242
24112
2424
24362
24448
245168
246280
24732
248336
2496
250252
25132
252288
253128
254432
2551
256258
257176
258304
25984
260120
261132
262264
26348
264324
265160
266360
26768
268270
26924
270272
27118
272448
273138
27472
27596
276278
277140
278128
27948
280282
281192
282284
28372
284480
285168
286336
2874
28818
289180
290392
29174
292294
29332
294360
29538
29648
297150
298336
29924
300352
301152
302408
30320
304372
30572
306308
30796
308416
309192
310312
31156
312314
313158
314192
31580
316318
317216
318360
3196
320432
321192
322360
3234
32484
325164
326440
32742
328384
329288
330332
33184
332152
333168
334408
33532
336338
33714
338456
339108
340384
34180
3428
34344
344576
345174
346348
347120
348350
34948
35056
35112
352354
353240
354432
35590
356576
357180
358360
35924
36020
361182
36248
363112
364444
365248
366368
36724
368168
369228
370432
371128
372374
373216
37424
37548
376420
37732
378380
379120
380512
381192
382384
3834
384576
385194
386176
38798
388390
389336
390432
3918
392528
393198
394480
39548
396398
397200
398640
3996
400402
401272
402448
403102
40424
405240
406456
40772
408410
409252
410552
411104
412480
41396
414504
41514
416560
417240
418420
419192
420422
421212
422192
42354
424108
425288
426496
427108
428672
429264
430432
4314
432434
433256
434720
435110
436480
437296
438440
43972
44032
441252
442444
443152
444540
445224
446600
4478
448450
44924
450504
451114
452608
453228
454672
45580
456458
457230
45872
459144
460462
461384
462464
46330
464768
465234
466468
46756
468544
469288
470632
47160
472528
473320
474120
475144
476216
477240
478480
47924
480532
481242
482768
48312
484588
4854
486488
48762
488656
48948
490492
491168
492540
493280
494288
49532
496576
497336
498500
4996