# Computed 2018-07-29 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:
#
# A299406(n) = { my(es = factor(n)[, 2]); factorback(apply(e -> if(2==(e%3),0,(-1)^((e%3)+(e%6))), es)); }; \\ ~~~~
# for(n=1,65537,write("b299406.txt", n, " ", A299406(n)));
1 1
2 1
3 1
4 0
5 1
6 1
7 1
8 -1
9 0
10 1
11 1
12 0
13 1
14 1
15 1
16 -1
17 1
18 0
19 1
20 0
21 1
22 1
23 1
24 -1
25 0
26 1
27 -1
28 0
29 1
30 1
31 1
32 0
33 1
34 1
35 1
36 0
37 1
38 1
39 1
40 -1
41 1
42 1
43 1
44 0
45 0
46 1
47 1
48 -1
49 0
50 0
51 1
52 0
53 1
54 -1
55 1
56 -1
57 1
58 1
59 1
60 0
61 1
62 1
63 0
64 1
65 1
66 1
67 1
68 0
69 1
70 1
71 1
72 0
73 1
74 1
75 0
76 0
77 1
78 1
79 1
80 -1
81 -1
82 1
83 1
84 0
85 1
86 1
87 1
88 -1
89 1
90 0
91 1
92 0
93 1
94 1
95 1
96 0
97 1
98 0
99 0
100 0
101 1
102 1
103 1
104 -1
105 1
106 1
107 1
108 0
109 1
110 1
111 1
112 -1
113 1
114 1
115 1
116 0
117 0
118 1
119 1
120 -1
121 0
122 1
123 1
124 0
125 -1
126 0
127 1
128 1
129 1
130 1
131 1
132 0
133 1
134 1
135 -1
136 -1
137 1
138 1
139 1
140 0
141 1
142 1
143 1
144 0
145 1
146 1
147 0
148 0
149 1
150 0
151 1
152 -1
153 0
154 1
155 1
156 0
157 1
158 1
159 1
160 0
161 1
162 -1
163 1
164 0
165 1
166 1
167 1
168 -1
169 0
170 1
171 0
172 0
173 1
174 1
175 0
176 -1
177 1
178 1
179 1
180 0
181 1
182 1
183 1
184 -1
185 1
186 1
187 1
188 0
189 -1
190 1
191 1
192 1
193 1
194 1
195 1
196 0
197 1
198 0
199 1
200 0
201 1
202 1
203 1
204 0
205 1
206 1
207 0
208 -1
209 1
210 1
211 1
212 0
213 1
214 1
215 1
216 1
217 1
218 1
219 1
220 0
221 1
222 1
223 1
224 0
225 0
226 1
227 1
228 0
229 1
230 1
231 1
232 -1
233 1
234 0
235 1
236 0
237 1
238 1
239 1
240 -1
241 1
242 0
243 0
244 0
245 0
246 1
247 1
248 -1
249 1
250 -1
251 1
252 0
253 1
254 1
255 1
256 0
257 1
258 1
259 1
260 0
261 0
262 1
263 1
264 -1
265 1
266 1
267 1
268 0
269 1
270 -1
271 1
272 -1
273 1
274 1
275 0
276 0
277 1
278 1
279 0
280 -1
281 1
282 1
283 1
284 0
285 1
286 1
287 1
288 0
289 0
290 1
291 1
292 0
293 1
294 0
295 1
296 -1
297 -1
298 1
299 1
300 0
301 1
302 1
303 1
304 -1
305 1
306 0
307 1
308 0
309 1
310 1
311 1
312 -1
313 1
314 1
315 0
316 0
317 1
318 1
319 1
320 1
321 1
322 1
323 1
324 0
325 0
326 1
327 1
328 -1
329 1
330 1
331 1
332 0
333 0
334 1
335 1
336 -1
337 1
338 0
339 1
340 0
341 1
342 0
343 -1
344 -1
345 1
346 1
347 1
348 0
349 1
350 0
351 -1
352 0
353 1
354 1
355 1
356 0
357 1
358 1
359 1
360 0
361 0
362 1
363 0
364 0
365 1
366 1
367 1
368 -1
369 0
370 1
371 1
372 0
373 1
374 1
375 -1
376 -1
377 1
378 -1
379 1
380 0
381 1
382 1
383 1
384 1
385 1
386 1
387 0
388 0
389 1
390 1
391 1
392 0
393 1
394 1
395 1
396 0
397 1
398 1
399 1
400 0
401 1
402 1
403 1
404 0
405 -1
406 1
407 1
408 -1
409 1
410 1
411 1
412 0
413 1
414 0
415 1
416 0
417 1
418 1
419 1
420 0
421 1
422 1
423 0
424 -1
425 0
426 1
427 1
428 0
429 1
430 1
431 1
432 1
433 1
434 1
435 1
436 0
437 1
438 1
439 1
440 -1
441 0
442 1
443 1
444 0
445 1
446 1
447 1
448 1
449 1
450 0
451 1
452 0
453 1
454 1
455 1
456 -1
457 1
458 1
459 -1
460 0
461 1
462 1
463 1
464 -1
465 1
466 1
467 1
468 0
469 1
470 1
471 1
472 -1
473 1
474 1
475 0
476 0
477 0
478 1
479 1
480 0
481 1
482 1
483 1
484 0
485 1
486 0
487 1
488 -1
489 1
490 0
491 1
492 0
493 1
494 1
495 0
496 -1
497 1
498 1
499 1
500 0
501 1
502 1
503 1
504 0
505 1
506 1
507 0
508 0
509 1
510 1
511 1
512 -1
513 -1
514 1
515 1
516 0
517 1
518 1
519 1
520 -1
521 1
522 0
523 1
524 0
525 0
526 1
527 1
528 -1
529 0
530 1
531 0
532 0
533 1
534 1
535 1
536 -1
537 1
538 1
539 0
540 0
541 1
542 1
543 1
544 0
545 1
546 1
547 1
548 0
549 0
550 0
551 1
552 -1
553 1
554 1
555 1
556 0
557 1
558 0
559 1
560 -1
561 1
562 1
563 1
564 0
565 1
566 1
567 -1
568 -1
569 1
570 1
571 1
572 0
573 1
574 1
575 0
576 0
577 1
578 0
579 1
580 0
581 1
582 1
583 1
584 -1
585 0
586 1
587 1
588 0
589 1
590 1
591 1
592 -1
593 1
594 -1
595 1
596 0
597 1
598 1
599 1
600 0
601 1
602 1
603 0
604 0
605 0
606 1
607 1
608 0
609 1
610 1
611 1
612 0
613 1
614 1
615 1
616 -1
617 1
618 1
619 1
620 0
621 -1
622 1
623 1
624 -1
625 -1
626 1
627 1
628 0
629 1
630 0
631 1
632 -1
633 1
634 1
635 1
636 0
637 0
638 1
639 0
640 1
641 1
642 1
643 1
644 0
645 1
646 1
647 1
648 1
649 1
650 0
651 1
652 0
653 1
654 1
655 1
656 -1
657 0
658 1
659 1
660 0
661 1
662 1
663 1
664 -1
665 1
666 0
667 1
668 0
669 1
670 1
671 1
672 0
673 1
674 1
675 0
676 0
677 1
678 1
679 1
680 -1
681 1
682 1
683 1
684 0
685 1
686 -1
687 1
688 -1
689 1
690 1
691 1
692 0
693 0
694 1
695 1
696 -1
697 1
698 1
699 1
700 0
701 1
702 -1
703 1
704 1
705 1
706 1
707 1
708 0
709 1
710 1
711 0
712 -1
713 1
714 1
715 1
716 0
717 1
718 1
719 1
720 0
721 1
722 0
723 1
724 0
725 0
726 0
727 1
728 -1
729 1
730 1
731 1
732 0
733 1
734 1
735 0
736 0
737 1
738 0
739 1
740 0
741 1
742 1
743 1
744 -1
745 1
746 1
747 0
748 0
749 1
750 -1
751 1
752 -1
753 1
754 1
755 1
756 0
757 1
758 1
759 1
760 -1
761 1
762 1
763 1
764 0
765 0
766 1
767 1
768 0
769 1
770 1
771 1
772 0
773 1
774 0
775 0
776 -1
777 1
778 1
779 1
780 0
781 1
782 1
783 -1
784 0
785 1
786 1
787 1
788 0
789 1
790 1
791 1
792 0
793 1
794 1
795 1
796 0
797 1
798 1
799 1
800 0
801 0
802 1
803 1
804 0
805 1
806 1
807 1
808 -1
809 1
810 -1
811 1
812 0
813 1
814 1
815 1
816 -1
817 1
818 1
819 0
820 0
821 1
822 1
823 1
824 -1
825 0
826 1
827 1
828 0
829 1
830 1
831 1
832 1
833 0
834 1
835 1
836 0
837 -1
838 1
839 1
840 -1
841 0
842 1
843 1
844 0
845 0
846 0
847 0
848 -1
849 1
850 0
851 1
852 0
853 1
854 1
855 0
856 -1
857 1
858 1
859 1
860 0
861 1
862 1
863 1
864 0
865 1
866 1
867 0
868 0
869 1
870 1
871 1
872 -1
873 0
874 1
875 -1
876 0
877 1
878 1
879 1
880 -1
881 1
882 0
883 1
884 0
885 1
886 1
887 1
888 -1
889 1
890 1
891 -1
892 0
893 1
894 1
895 1
896 1
897 1
898 1
899 1
900 0
901 1
902 1
903 1
904 -1
905 1
906 1
907 1
908 0
909 0
910 1
911 1
912 -1
913 1
914 1
915 1
916 0
917 1
918 -1
919 1
920 -1
921 1
922 1
923 1
924 0
925 0
926 1
927 0
928 0
929 1
930 1
931 0
932 0
933 1
934 1
935 1
936 0
937 1
938 1
939 1
940 0
941 1
942 1
943 1
944 -1
945 -1
946 1
947 1
948 0
949 1
950 0
951 1
952 -1
953 1
954 0
955 1
956 0
957 1
958 1
959 1
960 1
961 0
962 1
963 0
964 0
965 1
966 1
967 1
968 0
969 1
970 1
971 1
972 0
973 1
974 1
975 0
976 -1
977 1
978 1
979 1
980 0
981 0
982 1
983 1
984 -1
985 1
986 1
987 1
988 0
989 1
990 0
991 1
992 0
993 1
994 1
995 1
996 0
997 1
998 1
999 -1
1000 1
1001 1
1002 1
1003 1
1004 0
1005 1
1006 1
1007 1
1008 0
1009 1
1010 1
1011 1
1012 0
1013 1
1014 0
1015 1
1016 -1
1017 0
1018 1
1019 1
1020 0
1021 1
1022 1
1023 1
1024 -1
1025 0
1026 -1
1027 1
1028 0
1029 -1
1030 1
1031 1
1032 -1
1033 1
1034 1
1035 0
1036 0
1037 1
1038 1
1039 1
1040 -1
1041 1
1042 1
1043 1
1044 0
1045 1
1046 1
1047 1
1048 -1
1049 1
1050 0
1051 1
1052 0
1053 -1
1054 1
1055 1
1056 0
1057 1
1058 0
1059 1
1060 0
1061 1
1062 0
1063 1
1064 -1
1065 1
1066 1
1067 1
1068 0
1069 1
1070 1
1071 0
1072 -1
1073 1
1074 1
1075 0
1076 0
1077 1
1078 0
1079 1
1080 1
1081 1
1082 1
1083 0
1084 0
1085 1
1086 1
1087 1
1088 1
1089 0
1090 1
1091 1
1092 0
1093 1
1094 1
1095 1
1096 -1
1097 1
1098 0
1099 1
1100 0
1101 1
1102 1
1103 1
1104 -1
1105 1
1106 1
1107 -1
1108 0
1109 1
1110 1
1111 1
1112 -1
1113 1
1114 1
1115 1
1116 0
1117 1
1118 1
1119 1
1120 0
1121 1
1122 1
1123 1
1124 0
1125 0
1126 1
1127 0
1128 -1
1129 1
1130 1
1131 1
1132 0
1133 1
1134 -1
1135 1
1136 -1
1137 1
1138 1
1139 1
1140 0
1141 1
1142 1
1143 0
1144 -1
1145 1
1146 1
1147 1
1148 0
1149 1
1150 0
1151 1
1152 0
1153 1
1154 1
1155 1
1156 0
1157 1
1158 1
1159 1
1160 -1
1161 -1
1162 1
1163 1
1164 0
1165 1
1166 1
1167 1
1168 -1
1169 1
1170 0
1171 1
1172 0
1173 1
1174 1
1175 0
1176 0
1177 1
1178 1
1179 0
1180 0
1181 1
1182 1
1183 0
1184 0
1185 1
1186 1
1187 1
1188 0
1189 1
1190 1
1191 1
1192 -1
1193 1
1194 1
1195 1
1196 0
1197 0
1198 1
1199 1
1200 0
1201 1
1202 1
1203 1
1204 0
1205 1
1206 0
1207 1
1208 -1
1209 1
1210 0
1211 1
1212 0
1213 1
1214 1
1215 0
1216 1
1217 1
1218 1
1219 1
1220 0
1221 1
1222 1
1223 1
1224 0
1225 0
1226 1
1227 1
1228 0
1229 1
1230 1
1231 1
1232 -1
1233 0
1234 1
1235 1
1236 0
1237 1
1238 1
1239 1
1240 -1
1241 1
1242 -1
1243 1
1244 0
1245 1
1246 1
1247 1
1248 0
1249 1
1250 -1
1251 0
1252 0
1253 1
1254 1
1255 1
1256 -1
1257 1
1258 1
1259 1
1260 0
1261 1
1262 1
1263 1
1264 -1
1265 1
1266 1
1267 1
1268 0
1269 -1
1270 1
1271 1
1272 -1
1273 1
1274 0
1275 0
1276 0
1277 1
1278 0
1279 1
1280 0
1281 1
1282 1
1283 1
1284 0
1285 1
1286 1
1287 0
1288 -1
1289 1
1290 1
1291 1
1292 0
1293 1
1294 1
1295 1
1296 1
1297 1
1298 1
1299 1
1300 0
1301 1
1302 1
1303 1
1304 -1
1305 0
1306 1
1307 1
1308 0
1309 1
1310 1
1311 1
1312 0
1313 1
1314 0
1315 1
1316 0
1317 1
1318 1
1319 1
1320 -1
1321 1
1322 1
1323 0
1324 0
1325 0
1326 1
1327 1
1328 -1
1329 1
1330 1
1331 -1
1332 0
1333 1
1334 1
1335 1
1336 -1
1337 1
1338 1
1339 1
1340 0
1341 0
1342 1
1343 1
1344 1
1345 1
1346 1
1347 1
1348 0
1349 1
1350 0
1351 1
1352 0
1353 1
1354 1
1355 1
1356 0
1357 1
1358 1
1359 0
1360 -1
1361 1
1362 1
1363 1
1364 0
1365 1
1366 1
1367 1
1368 0
1369 0
1370 1
1371 1
1372 0
1373 1
1374 1
1375 -1
1376 0
1377 -1
1378 1
1379 1
1380 0
1381 1
1382 1
1383 1
1384 -1
1385 1
1386 0
1387 1
1388 0
1389 1
1390 1
1391 1
1392 -1
1393 1
1394 1
1395 0
1396 0
1397 1
1398 1
1399 1
1400 0
1401 1
1402 1
1403 1
1404 0
1405 1
1406 1
1407 1
1408 1
1409 1
1410 1
1411 1
1412 0
1413 0
1414 1
1415 1
1416 -1
1417 1
1418 1
1419 1
1420 0
1421 0
1422 0
1423 1
1424 -1
1425 0
1426 1
1427 1
1428 0
1429 1
1430 1
1431 -1
1432 -1
1433 1
1434 1
1435 1
1436 0
1437 1
1438 1
1439 1
1440 0
1441 1
1442 1
1443 1
1444 0
1445 0
1446 1
1447 1
1448 -1
1449 0
1450 0
1451 1
1452 0
1453 1
1454 1
1455 1
1456 -1
1457 1
1458 1
1459 1
1460 0
1461 1
1462 1
1463 1
1464 -1
1465 1
1466 1
1467 0
1468 0
1469 1
1470 0
1471 1
1472 1
1473 1
1474 1
1475 0
1476 0
1477 1
1478 1
1479 1
1480 -1
1481 1
1482 1
1483 1
1484 0
1485 -1
1486 1
1487 1
1488 -1
1489 1
1490 1
1491 1
1492 0
1493 1
1494 0
1495 1
1496 -1
1497 1
1498 1
1499 1
1500 0
1501 1
1502 1
1503 0
1504 0
1505 1
1506 1
1507 1
1508 0
1509 1
1510 1
1511 1
1512 1
1513 1
1514 1
1515 1
1516 0
1517 1
1518 1
1519 0
1520 -1
1521 0
1522 1
1523 1
1524 0
1525 0
1526 1
1527 1
1528 -1
1529 1
1530 0
1531 1
1532 0
1533 1
1534 1
1535 1
1536 -1
1537 1
1538 1
1539 -1
1540 0
1541 1
1542 1
1543 1
1544 -1
1545 1
1546 1
1547 1
1548 0
1549 1
1550 0
1551 1
1552 -1
1553 1
1554 1
1555 1
1556 0
1557 0
1558 1
1559 1
1560 -1
1561 1
1562 1
1563 1
1564 0
1565 1
1566 -1
1567 1
1568 0
1569 1
1570 1
1571 1
1572 0
1573 0
1574 1
1575 0
1576 -1
1577 1
1578 1
1579 1
1580 0
1581 1
1582 1
1583 1
1584 0
1585 1
1586 1
1587 0
1588 0
1589 1
1590 1
1591 1
1592 -1
1593 -1
1594 1
1595 1
1596 0
1597 1
1598 1
1599 1
1600 0
1601 1
1602 0
1603 1
1604 0
1605 1
1606 1
1607 1
1608 -1
1609 1
1610 1
1611 0
1612 0
1613 1
1614 1
1615 1
1616 -1
1617 0
1618 1
1619 1
1620 0
1621 1
1622 1
1623 1
1624 -1
1625 -1
1626 1
1627 1
1628 0
1629 0
1630 1
1631 1
1632 0
1633 1
1634 1
1635 1
1636 0
1637 1
1638 0
1639 1
1640 -1
1641 1
1642 1
1643 1
1644 0
1645 1
1646 1
1647 -1
1648 -1
1649 1
1650 0
1651 1
1652 0
1653 1
1654 1
1655 1
1656 0
1657 1
1658 1
1659 1
1660 0
1661 1
1662 1
1663 1
1664 1
1665 0
1666 0
1667 1
1668 0
1669 1
1670 1
1671 1
1672 -1
1673 1
1674 -1
1675 0
1676 0
1677 1
1678 1
1679 1
1680 -1
1681 0
1682 0
1683 0
1684 0
1685 1
1686 1
1687 1
1688 -1
1689 1
1690 0
1691 1
1692 0
1693 1
1694 0
1695 1
1696 0
1697 1
1698 1
1699 1
1700 0
1701 0
1702 1
1703 1
1704 -1
1705 1
1706 1
1707 1
1708 0
1709 1
1710 0
1711 1
1712 -1
1713 1
1714 1
1715 -1
1716 0
1717 1
1718 1
1719 0
1720 -1
1721 1
1722 1
1723 1
1724 0
1725 0
1726 1
1727 1
1728 -1
1729 1
1730 1
1731 1
1732 0
1733 1
1734 0
1735 1
1736 -1
1737 0
1738 1
1739 1
1740 0
1741 1
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