# Computed 2018-09-27 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:
#
# A086823(n) = (((1/2)*moebius(n)*(moebius(n)-1)) - if(!(n%2),moebius(n/2))); \\ ~~~~
# for(n=1,65539,write("b086823.txt", n, " ", A086823(n)));
#
# This produces the same results, only much slower:
# allocatemem(2^30);
# default(parisizemax,2^31);
# A086823(n) = polcoeff(polcyclo(n), 2); \\ This function from _David Wasserman_
# for(n=1,65539,write("b086823.txt", n, " ", A086823(n)));
1 0
2 0
3 1
4 1
5 1
6 1
7 1
8 0
9 0
10 1
11 1
12 -1
13 1
14 1
15 0
16 0
17 1
18 0
19 1
20 -1
21 0
22 1
23 1
24 0
25 0
26 1
27 0
28 -1
29 1
30 0
31 1
32 0
33 0
34 1
35 0
36 0
37 1
38 1
39 0
40 0
41 1
42 0
43 1
44 -1
45 0
46 1
47 1
48 0
49 0
50 0
51 0
52 -1
53 1
54 0
55 0
56 0
57 0
58 1
59 1
60 1
61 1
62 1
63 0
64 0
65 0
66 0
67 1
68 -1
69 0
70 0
71 1
72 0
73 1
74 1
75 0
76 -1
77 0
78 0
79 1
80 0
81 0
82 1
83 1
84 1
85 0
86 1
87 0
88 0
89 1
90 0
91 0
92 -1
93 0
94 1
95 0
96 0
97 1
98 0
99 0
100 0
101 1
102 0
103 1
104 0
105 1
106 1
107 1
108 0
109 1
110 0
111 0
112 0
113 1
114 0
115 0
116 -1
117 0
118 1
119 0
120 0
121 0
122 1
123 0
124 -1
125 0
126 0
127 1
128 0
129 0
130 0
131 1
132 1
133 0
134 1
135 0
136 0
137 1
138 0
139 1
140 1
141 0
142 1
143 0
144 0
145 0
146 1
147 0
148 -1
149 1
150 0
151 1
152 0
153 0
154 0
155 0
156 1
157 1
158 1
159 0
160 0
161 0
162 0
163 1
164 -1
165 1
166 1
167 1
168 0
169 0
170 0
171 0
172 -1
173 1
174 0
175 0
176 0
177 0
178 1
179 1
180 0
181 1
182 0
183 0
184 0
185 0
186 0
187 0
188 -1
189 0
190 0
191 1
192 0
193 1
194 1
195 1
196 0
197 1
198 0
199 1
200 0
201 0
202 1
203 0
204 1
205 0
206 1
207 0
208 0
209 0
210 1
211 1
212 -1
213 0
214 1
215 0
216 0
217 0
218 1
219 0
220 1
221 0
222 0
223 1
224 0
225 0
226 1
227 1
228 1
229 1
230 0
231 1
232 0
233 1
234 0
235 0
236 -1
237 0
238 0
239 1
240 0
241 1
242 0
243 0
244 -1
245 0
246 0
247 0
248 0
249 0
250 0
251 1
252 0
253 0
254 1
255 1
256 0
257 1
258 0
259 0
260 1
261 0
262 1
263 1
264 0
265 0
266 0
267 0
268 -1
269 1
270 0
271 1
272 0
273 1
274 1
275 0
276 1
277 1
278 1
279 0
280 0
281 1
282 0
283 1
284 -1
285 1
286 0
287 0
288 0
289 0
290 0
291 0
292 -1
293 1
294 0
295 0
296 0
297 0
298 1
299 0
300 0
301 0
302 1
303 0
304 0
305 0
306 0
307 1
308 1
309 0
310 0
311 1
312 0
313 1
314 1
315 0
316 -1
317 1
318 0
319 0
320 0
321 0
322 0
323 0
324 0
325 0
326 1
327 0
328 0
329 0
330 1
331 1
332 -1
333 0
334 1
335 0
336 0
337 1
338 0
339 0
340 1
341 0
342 0
343 0
344 0
345 1
346 1
347 1
348 1
349 1
350 0
351 0
352 0
353 1
354 0
355 0
356 -1
357 1
358 1
359 1
360 0
361 0
362 1
363 0
364 1
365 0
366 0
367 1
368 0
369 0
370 0
371 0
372 1
373 1
374 0
375 0
376 0
377 0
378 0
379 1
380 1
381 0
382 1
383 1
384 0
385 1
386 1
387 0
388 -1
389 1
390 1
391 0
392 0
393 0
394 1
395 0
396 0
397 1
398 1
399 1
400 0
401 1
402 0
403 0
404 -1
405 0
406 0
407 0
408 0
409 1
410 0
411 0
412 -1
413 0
414 0
415 0
416 0
417 0
418 0
419 1
420 -1
421 1
422 1
423 0
424 0
425 0
426 0
427 0
428 -1
429 1
430 0
431 1
432 0
433 1
434 0
435 1
436 -1
437 0
438 0
439 1
440 0
441 0
442 0
443 1
444 1
445 0
446 1
447 0
448 0
449 1
450 0
451 0
452 -1
453 0
454 1
455 1
456 0
457 1
458 1
459 0
460 1
461 1
462 1
463 1
464 0
465 1
466 1
467 1
468 0
469 0
470 0
471 0
472 0
473 0
474 0
475 0
476 1
477 0
478 1
479 1
480 0
481 0
482 1
483 1
484 0
485 0
486 0
487 1
488 0
489 0
490 0
491 1
492 1
493 0
494 0
495 0
496 0
497 0
498 0
499 1
500 0
501 0
502 1
503 1
504 0
505 0
506 0
507 0
508 -1
509 1
510 1
511 0
512 0
513 0
514 1
515 0
516 1
517 0
518 0
519 0
520 0
521 1
522 0
523 1
524 -1
525 0
526 1
527 0
528 0
529 0
530 0
531 0
532 1
533 0
534 0
535 0
536 0
537 0
538 1
539 0
540 0
541 1
542 1
543 0
544 0
545 0
546 1
547 1
548 -1
549 0
550 0
551 0
552 0
553 0
554 1
555 1
556 -1
557 1
558 0
559 0
560 0
561 1
562 1
563 1
564 1
565 0
566 1
567 0
568 0
569 1
570 1
571 1
572 1
573 0
574 0
575 0
576 0
577 1
578 0
579 0
580 1
581 0
582 0
583 0
584 0
585 0
586 1
587 1
588 0
589 0
590 0
591 0
592 0
593 1
594 0
595 1
596 -1
597 0
598 0
599 1
600 0
601 1
602 0
603 0
604 -1
605 0
606 0
607 1
608 0
609 1
610 0
611 0
612 0
613 1
614 1
615 1
616 0
617 1
618 0
619 1
620 1
621 0
622 1
623 0
624 0
625 0
626 1
627 1
628 -1
629 0
630 0
631 1
632 0
633 0
634 1
635 0
636 1
637 0
638 0
639 0
640 0
641 1
642 0
643 1
644 1
645 1
646 0
647 1
648 0
649 0
650 0
651 1
652 -1
653 1
654 0
655 0
656 0
657 0
658 0
659 1
660 -1
661 1
662 1
663 1
664 0
665 1
666 0
667 0
668 -1
669 0
670 0
671 0
672 0
673 1
674 1
675 0
676 0
677 1
678 0
679 0
680 0
681 0
682 0
683 1
684 0
685 0
686 0
687 0
688 0
689 0
690 1
691 1
692 -1
693 0
694 1
695 0
696 0
697 0
698 1
699 0
700 0
701 1
702 0
703 0
704 0
705 1
706 1
707 0
708 1
709 1
710 0
711 0
712 0
713 0
714 1
715 1
716 -1
717 0
718 1
719 1
720 0
721 0
722 0
723 0
724 -1
725 0
726 0
727 1
728 0
729 0
730 0
731 0
732 1
733 1
734 1
735 0
736 0
737 0
738 0
739 1
740 1
741 1
742 0
743 1
744 0
745 0
746 1
747 0
748 1
749 0
750 0
751 1
752 0
753 0
754 0
755 0
756 0
757 1
758 1
759 1
760 0
761 1
762 0
763 0
764 -1
765 0
766 1
767 0
768 0
769 1
770 1
771 0
772 -1
773 1
774 0
775 0
776 0
777 1
778 1
779 0
780 -1
781 0
782 0
783 0
784 0
785 0
786 0
787 1
788 -1
789 0
790 0
791 0
792 0
793 0
794 1
795 1
796 -1
797 1
798 1
799 0
800 0
801 0
802 1
803 0
804 1
805 1
806 0
807 0
808 0
809 1
810 0
811 1
812 1
813 0
814 0
815 0
816 0
817 0
818 1
819 0
820 1
821 1
822 0
823 1
824 0
825 0
826 0
827 1
828 0
829 1
830 0
831 0
832 0
833 0
834 0
835 0
836 1
837 0
838 1
839 1
840 0
841 0
842 1
843 0
844 -1
845 0
846 0
847 0
848 0
849 0
850 0
851 0
852 1
853 1
854 0
855 0
856 0
857 1
858 1
859 1
860 1
861 1
862 1
863 1
864 0
865 0
866 1
867 0
868 1
869 0
870 1
871 0
872 0
873 0
874 0
875 0
876 1
877 1
878 1
879 0
880 0
881 1
882 0
883 1
884 1
885 1
886 1
887 1
888 0
889 0
890 0
891 0
892 -1
893 0
894 0
895 0
896 0
897 1
898 1
899 0
900 0
901 0
902 0
903 1
904 0
905 0
906 0
907 1
908 -1
909 0
910 1
911 1
912 0
913 0
914 1
915 1
916 -1
917 0
918 0
919 1
920 0
921 0
922 1
923 0
924 -1
925 0
926 1
927 0
928 0
929 1
930 1
931 0
932 -1
933 0
934 1
935 1
936 0
937 1
938 0
939 0
940 1
941 1
942 0
943 0
944 0
945 0
946 0
947 1
948 1
949 0
950 0
951 0
952 0
953 1
954 0
955 0
956 -1
957 1
958 1
959 0
960 0
961 0
962 0
963 0
964 -1
965 0
966 1
967 1
968 0
969 1
970 0
971 1
972 0
973 0
974 1
975 0
976 0
977 1
978 0
979 0
980 0
981 0
982 1
983 1
984 0
985 0
986 0
987 1
988 1
989 0
990 0
991 1
992 0
993 0
994 0
995 0
996 1
997 1
998 1
999 0
1000 0
1001 1
1002 0
1003 0
1004 -1
1005 1
1006 1
1007 0
1008 0
1009 1
1010 0
1011 0
1012 1
1013 1
1014 0
1015 1
1016 0
1017 0
1018 1
1019 1
1020 -1
1021 1
1022 0
1023 1
1024 0
1025 0
1026 0
1027 0
1028 -1
1029 0
1030 0
1031 1
1032 0
1033 1
1034 0
1035 0
1036 1
1037 0
1038 0
1039 1
1040 0
1041 0
1042 1
1043 0
1044 0
1045 1
1046 1
1047 0
1048 0
1049 1
1050 0
1051 1
1052 -1
1053 0
1054 0
1055 0
1056 0
1057 0
1058 0
1059 0
1060 1
1061 1
1062 0
1063 1
1064 0
1065 1
1066 0
1067 0
1068 1
1069 1
1070 0
1071 0
1072 0
1073 0
1074 0
1075 0
1076 -1
1077 0
1078 0
1079 0
1080 0
1081 0
1082 1
1083 0
1084 -1
1085 1
1086 0
1087 1
1088 0
1089 0
1090 0
1091 1
1092 -1
1093 1
1094 1
1095 1
1096 0
1097 1
1098 0
1099 0
1100 0
1101 0
1102 0
1103 1
1104 0
1105 1
1106 0
1107 0
1108 -1
1109 1
1110 1
1111 0
1112 0
1113 1
1114 1
1115 0
1116 0
1117 1
1118 0
1119 0
1120 0
1121 0
1122 1
1123 1
1124 -1
1125 0
1126 1
1127 0
1128 0
1129 1
1130 0
1131 1
1132 -1
1133 0
1134 0
1135 0
1136 0
1137 0
1138 1
1139 0
1140 -1
1141 0
1142 1
1143 0
1144 0
1145 0
1146 0
1147 0
1148 1
1149 0
1150 0
1151 1
1152 0
1153 1
1154 1
1155 0
1156 0
1157 0
1158 0
1159 0
1160 0
1161 0
1162 0
1163 1
1164 1
1165 0
1166 0
1167 0
1168 0
1169 0
1170 0
1171 1
1172 -1
1173 1
1174 1
1175 0
1176 0
1177 0
1178 0
1179 0
1180 1
1181 1
1182 0
1183 0
1184 0
1185 1
1186 1
1187 1
1188 0
1189 0
1190 1
1191 0
1192 0
1193 1
1194 0
1195 0
1196 1
1197 0
1198 1
1199 0
1200 0
1201 1
1202 1
1203 0
1204 1
1205 0
1206 0
1207 0
1208 0
1209 1
1210 0
1211 0
1212 1
1213 1
1214 1
1215 0
1216 0
1217 1
1218 1
1219 0
1220 1
1221 1
1222 0
1223 1
1224 0
1225 0
1226 1
1227 0
1228 -1
1229 1
1230 1
1231 1
1232 0
1233 0
1234 1
1235 1
1236 1
1237 1
1238 1
1239 1
1240 0
1241 0
1242 0
1243 0
1244 -1
1245 1
1246 0
1247 0
1248 0
1249 1
1250 0
1251 0
1252 -1
1253 0
1254 1
1255 0
1256 0
1257 0
1258 0
1259 1
1260 0
1261 0
1262 1
1263 0
1264 0
1265 1
1266 0
1267 0
1268 -1
1269 0
1270 0
1271 0
1272 0
1273 0
1274 0
1275 0
1276 1
1277 1
1278 0
1279 1
1280 0
1281 1
1282 1
1283 1
1284 1
1285 0
1286 1
1287 0
1288 0
1289 1
1290 1
1291 1
1292 1
1293 0
1294 1
1295 1
1296 0
1297 1
1298 0
1299 0
1300 0
1301 1
1302 1
1303 1
1304 0
1305 0
1306 1
1307 1
1308 1
1309 1
1310 0
1311 1
1312 0
1313 0
1314 0
1315 0
1316 1
1317 0
1318 1
1319 1
1320 0
1321 1
1322 1
1323 0
1324 -1
1325 0
1326 1
1327 1
1328 0
1329 0
1330 1
1331 0
1332 0
1333 0
1334 0
1335 1
1336 0
1337 0
1338 0
1339 0
1340 1
1341 0
1342 0
1343 0
1344 0
1345 0
1346 1
1347 0
1348 -1
1349 0
1350 0
1351 0
1352 0
1353 1
1354 1
1355 0
1356 1
1357 0
1358 0
1359 0
1360 0
1361 1
1362 0
1363 0
1364 1
1365 0
1366 1
1367 1
1368 0
1369 0
1370 0
1371 0
1372 0
1373 1
1374 0
1375 0
1376 0
1377 0
1378 0
1379 0
1380 -1
1381 1
1382 1
1383 0
1384 0
1385 0
1386 0
1387 0
1388 -1
1389 0
1390 0
1391 0
1392 0
1393 0
1394 0
1395 0
1396 -1
1397 0
1398 0
1399 1
1400 0
1401 0
1402 1
1403 0
1404 0
1405 0
1406 0
1407 1
1408 0
1409 1
1410 1
1411 0
1412 -1
1413 0
1414 0
1415 0
1416 0
1417 0
1418 1
1419 1
1420 1
1421 0
1422 0
1423 1
1424 0
1425 0
1426 0
1427 1
1428 -1
1429 1
1430 1
1431 0
1432 0
1433 1
1434 0
1435 1
1436 -1
1437 0
1438 1
1439 1
1440 0
1441 0
1442 0
1443 1
1444 0
1445 0
1446 0
1447 1
1448 0
1449 0
1450 0
1451 1
1452 0
1453 1
1454 1
1455 1
1456 0
1457 0
1458 0
1459 1
1460 1
1461 0
1462 0
1463 1
1464 0
1465 0
1466 1
1467 0
1468 -1
1469 0
1470 0
1471 1
1472 0
1473 0
1474 0
1475 0
1476 0
1477 0
1478 1
1479 1
1480 0
1481 1
1482 1
1483 1
1484 1
1485 0
1486 1
1487 1
1488 0
1489 1
1490 0
1491 1
1492 -1
1493 1
1494 0
1495 1
1496 0
1497 0
1498 0
1499 1
1500 0
1501 0
1502 1
1503 0
1504 0
1505 1
1506 0
1507 0
1508 1
1509 0
1510 0
1511 1
1512 0
1513 0
1514 1
1515 1
1516 -1
1517 0
1518 1
1519 0
1520 0
1521 0
1522 1
1523 1
1524 1
1525 0
1526 0
1527 0
1528 0
1529 0
1530 0
1531 1
1532 -1
1533 1
1534 0
1535 0
1536 0
1537 0
1538 1
1539 0
1540 -1
1541 0
1542 0
1543 1
1544 0
1545 1
1546 1
1547 1
1548 0
1549 1
1550 0
1551 1
1552 0
1553 1
1554 1
1555 0
1556 -1
1557 0
1558 0
1559 1
1560 0
1561 0
1562 0
1563 0
1564 1
1565 0
1566 0
1567 1
1568 0
1569 0
1570 0
1571 1
1572 1
1573 0
1574 1
1575 0
1576 0
1577 0
1578 0
1579 1
1580 1
1581 1
1582 0
1583 1
1584 0
1585 0
1586 0
1587 0
1588 -1
1589 0
1590 1
1591 0
1592 0
1593 0
1594 1
1595 1
1596 -1
1597 1
1598 0
1599 1
1600 0
1601 1
1602 0
1603 0
1604 -1
1605 1
1606 0
1607 1
1608 0
1609 1
1610 1
1611 0
1612 1
1613 1
1614 0
1615 1
1616 0
1617 0
1618 1
1619 1
1620 0
1621 1
1622 1
1623 0
1624 0
1625 0
1626 0
1627 1
1628 1
1629 0
1630 0
1631 0
1632 0
1633 0
1634 0
1635 1
1636 -1
1637 1
1638 0
1639 0
1640 0
1641 0
1642 1
1643 0
1644 1
1645 1
1646 1
1647 0
1648 0
1649 0
1650 0
1651 0
1652 1
1653 1
1654 1
1655 0
1656 0
1657 1
1658 1
1659 1
1660 1
1661 0
1662 0
1663 1
1664 0
1665 0
1666 0
1667 1
1668 1
1669 1
1670 0
1671 0
1672 0
1673 0
1674 0
1675 0
1676 -1
1677 1
1678 1
1679 0
1680 0
1681 0
1682 0
1683 0
1684 -1
1685 0
1686 0
1687 0
1688 0
1689 0
1690 0
1691 0
1692 0
1693 1
1694 0
1695 1
1696 0
1697 1
1698 0
1699 1
1700 0
1701 0
1702 0
1703 0
1704 0
1705 1
1706 1
1707 0
1708 1
1709 1
1710 0
1711 0
1712 0
1713 0
1714 1
1715 0
1716 -1
1717 0
1718 1
1719 0
1720 0
1721 1
1722 1
1723 1
1724 -1
1725 0
1726 1
1727 0
1728 0
1729 1
1730 0
1731 0
1732 -1
1733 1
1734 0
1735 0
1736 0
1737 0
1738 0
1739 0
1740 -1
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