# Computed 2017-11-20 in GP/PARI CALCULATOR Version 2.9.2 (released) amd64 running mingw (x86-64/GMP-6.1.2 kernel) 64-bit version, compiled: Mar 22 2017, gcc version 4.9.1 (GCC), threading engine: single
# with the following PARI-program:
#
# A033716(n) = { if(!n,return(1)); my(f, B); f=factorint(n); B=1; for(i=1, matsize(f)[1], if(f[i, 1]%3==1, B*=f[i, 2]+1); if(f[i, 1]%3==2, if(f[i, 2]%2, return(0)))); if(n%4, 2*B, 6*B) }; \\ This function from _Max Alekseyev_, May 16 2006, case for a(0)=1 added by _Antti Karttunen_
# for(n=0,65537,write("b033716.txt", n, " ", A033716(n)));
0 1
1 2
2 0
3 2
4 6
5 0
6 0
7 4
8 0
9 2
10 0
11 0
12 6
13 4
14 0
15 0
16 6
17 0
18 0
19 4
20 0
21 4
22 0
23 0
24 0
25 2
26 0
27 2
28 12
29 0
30 0
31 4
32 0
33 0
34 0
35 0
36 6
37 4
38 0
39 4
40 0
41 0
42 0
43 4
44 0
45 0
46 0
47 0
48 6
49 6
50 0
51 0
52 12
53 0
54 0
55 0
56 0
57 4
58 0
59 0
60 0
61 4
62 0
63 4
64 6
65 0
66 0
67 4
68 0
69 0
70 0
71 0
72 0
73 4
74 0
75 2
76 12
77 0
78 0
79 4
80 0
81 2
82 0
83 0
84 12
85 0
86 0
87 0
88 0
89 0
90 0
91 8
92 0
93 4
94 0
95 0
96 0
97 4
98 0
99 0
100 6
101 0
102 0
103 4
104 0
105 0
106 0
107 0
108 6
109 4
110 0
111 4
112 12
113 0
114 0
115 0
116 0
117 4
118 0
119 0
120 0
121 2
122 0
123 0
124 12
125 0
126 0
127 4
128 0
129 4
130 0
131 0
132 0
133 8
134 0
135 0
136 0
137 0
138 0
139 4
140 0
141 0
142 0
143 0
144 6
145 0
146 0
147 6
148 12
149 0
150 0
151 4
152 0
153 0
154 0
155 0
156 12
157 4
158 0
159 0
160 0
161 0
162 0
163 4
164 0
165 0
166 0
167 0
168 0
169 6
170 0
171 4
172 12
173 0
174 0
175 4
176 0
177 0
178 0
179 0
180 0
181 4
182 0
183 4
184 0
185 0
186 0
187 0
188 0
189 4
190 0
191 0
192 6
193 4
194 0
195 0
196 18
197 0
198 0
199 4
200 0
201 4
202 0
203 0
204 0
205 0
206 0
207 0
208 12
209 0
210 0
211 4
212 0
213 0
214 0
215 0
216 0
217 8
218 0
219 4
220 0
221 0
222 0
223 4
224 0
225 2
226 0
227 0
228 12
229 4
230 0
231 0
232 0
233 0
234 0
235 0
236 0
237 4
238 0
239 0
240 0
241 4
242 0
243 2
244 12
245 0
246 0
247 8
248 0
249 0
250 0
251 0
252 12
253 0
254 0
255 0
256 6
257 0
258 0
259 8
260 0
261 0
262 0
263 0
264 0
265 0
266 0
267 0
268 12
269 0
270 0
271 4
272 0
273 8
274 0
275 0
276 0
277 4
278 0
279 4
280 0
281 0
282 0
283 4
284 0
285 0
286 0
287 0
288 0
289 2
290 0
291 4
292 12
293 0
294 0
295 0
296 0
297 0
298 0
299 0
300 6
301 8
302 0
303 0
304 12
305 0
306 0
307 4
308 0
309 4
310 0
311 0
312 0
313 4
314 0
315 0
316 12
317 0
318 0
319 0
320 0
321 0
322 0
323 0
324 6
325 4
326 0
327 4
328 0
329 0
330 0
331 4
332 0
333 4
334 0
335 0
336 12
337 4
338 0
339 0
340 0
341 0
342 0
343 8
344 0
345 0
346 0
347 0
348 0
349 4
350 0
351 4
352 0
353 0
354 0
355 0
356 0
357 0
358 0
359 0
360 0
361 6
362 0
363 2
364 24
365 0
366 0
367 4
368 0
369 0
370 0
371 0
372 12
373 4
374 0
375 0
376 0
377 0
378 0
379 4
380 0
381 4
382 0
383 0
384 0
385 0
386 0
387 4
388 12
389 0
390 0
391 0
392 0
393 0
394 0
395 0
396 0
397 4
398 0
399 8
400 6
401 0
402 0
403 8
404 0
405 0
406 0
407 0
408 0
409 4
410 0
411 0
412 12
413 0
414 0
415 0
416 0
417 4
418 0
419 0
420 0
421 4
422 0
423 0
424 0
425 0
426 0
427 8
428 0
429 0
430 0
431 0
432 6
433 4
434 0
435 0
436 12
437 0
438 0
439 4
440 0
441 6
442 0
443 0
444 12
445 0
446 0
447 0
448 12
449 0
450 0
451 0
452 0
453 4
454 0
455 0
456 0
457 4
458 0
459 0
460 0
461 0
462 0
463 4
464 0
465 0
466 0
467 0
468 12
469 8
470 0
471 4
472 0
473 0
474 0
475 4
476 0
477 0
478 0
479 0
480 0
481 8
482 0
483 0
484 6
485 0
486 0
487 4
488 0
489 4
490 0
491 0
492 0
493 0
494 0
495 0
496 12
497 0
498 0
499 4
500 0
501 0
502 0
503 0
504 0
505 0
506 0
507 6
508 12
509 0
510 0
511 8
512 0
513 4
514 0
515 0
516 12
517 0
518 0
519 0
520 0
521 0
522 0
523 4
524 0
525 4
526 0
527 0
528 0
529 2
530 0
531 0
532 24
533 0
534 0
535 0
536 0
537 0
538 0
539 0
540 0
541 4
542 0
543 4
544 0
545 0
546 0
547 4
548 0
549 4
550 0
551 0
552 0
553 8
554 0
555 0
556 12
557 0
558 0
559 8
560 0
561 0
562 0
563 0
564 0
565 0
566 0
567 4
568 0
569 0
570 0
571 4
572 0
573 0
574 0
575 0
576 6
577 4
578 0
579 4
580 0
581 0
582 0
583 0
584 0
585 0
586 0
587 0
588 18
589 8
590 0
591 0
592 12
593 0
594 0
595 0
596 0
597 4
598 0
599 0
600 0
601 4
602 0
603 4
604 12
605 0
606 0
607 4
608 0
609 0
610 0
611 0
612 0
613 4
614 0
615 0
616 0
617 0
618 0
619 4
620 0
621 0
622 0
623 0
624 12
625 2
626 0
627 0
628 12
629 0
630 0
631 4
632 0
633 4
634 0
635 0
636 0
637 12
638 0
639 0
640 0
641 0
642 0
643 4
644 0
645 0
646 0
647 0
648 0
649 0
650 0
651 8
652 12
653 0
654 0
655 0
656 0
657 4
658 0
659 0
660 0
661 4
662 0
663 0
664 0
665 0
666 0
667 0
668 0
669 4
670 0
671 0
672 0
673 4
674 0
675 2
676 18
677 0
678 0
679 8
680 0
681 0
682 0
683 0
684 12
685 0
686 0
687 4
688 12
689 0
690 0
691 4
692 0
693 0
694 0
695 0
696 0
697 0
698 0
699 0
700 12
701 0
702 0
703 8
704 0
705 0
706 0
707 0
708 0
709 4
710 0
711 4
712 0
713 0
714 0
715 0
716 0
717 0
718 0
719 0
720 0
721 8
722 0
723 4
724 12
725 0
726 0
727 4
728 0
729 2
730 0
731 0
732 12
733 4
734 0
735 0
736 0
737 0
738 0
739 4
740 0
741 8
742 0
743 0
744 0
745 0
746 0
747 0
748 0
749 0
750 0
751 4
752 0
753 0
754 0
755 0
756 12
757 4
758 0
759 0
760 0
761 0
762 0
763 8
764 0
765 0
766 0
767 0
768 6
769 4
770 0
771 0
772 12
773 0
774 0
775 4
776 0
777 8
778 0
779 0
780 0
781 0
782 0
783 0
784 18
785 0
786 0
787 4
788 0
789 0
790 0
791 0
792 0
793 8
794 0
795 0
796 12
797 0
798 0
799 0
800 0
801 0
802 0
803 0
804 12
805 0
806 0
807 0
808 0
809 0
810 0
811 4
812 0
813 4
814 0
815 0
816 0
817 8
818 0
819 8
820 0
821 0
822 0
823 4
824 0
825 0
826 0
827 0
828 0
829 4
830 0
831 4
832 12
833 0
834 0
835 0
836 0
837 4
838 0
839 0
840 0
841 2
842 0
843 0
844 12
845 0
846 0
847 4
848 0
849 4
850 0
851 0
852 0
853 4
854 0
855 0
856 0
857 0
858 0
859 4
860 0
861 0
862 0
863 0
864 0
865 0
866 0
867 2
868 24
869 0
870 0
871 8
872 0
873 4
874 0
875 0
876 12
877 4
878 0
879 0
880 0
881 0
882 0
883 4
884 0
885 0
886 0
887 0
888 0
889 8
890 0
891 0
892 12
893 0
894 0
895 0
896 0
897 0
898 0
899 0
900 6
901 0
902 0
903 8
904 0
905 0
906 0
907 4
908 0
909 0
910 0
911 0
912 12
913 0
914 0
915 0
916 12
917 0
918 0
919 4
920 0
921 4
922 0
923 0
924 0
925 4
926 0
927 4
928 0
929 0
930 0
931 12
932 0
933 0
934 0
935 0
936 0
937 4
938 0
939 4
940 0
941 0
942 0
943 0
944 0
945 0
946 0
947 0
948 12
949 8
950 0
951 0
952 0
953 0
954 0
955 0
956 0
957 0
958 0
959 0
960 0
961 6
962 0
963 0
964 12
965 0
966 0
967 4
968 0
969 0
970 0
971 0
972 6
973 8
974 0
975 4
976 12
977 0
978 0
979 0
980 0
981 4
982 0
983 0
984 0
985 0
986 0
987 0
988 24
989 0
990 0
991 4
992 0
993 4
994 0
995 0
996 0
997 4
998 0
999 4
1000 0
1001 0
1002 0
1003 0
1004 0
1005 0
1006 0
1007 0
1008 12
1009 4
1010 0
1011 4
1012 0
1013 0
1014 0
1015 0
1016 0
1017 0
1018 0
1019 0
1020 0
1021 4
1022 0
1023 0
1024 6
1025 0
1026 0
1027 8
1028 0
1029 8
1030 0
1031 0
1032 0
1033 4
1034 0
1035 0
1036 24
1037 0
1038 0
1039 4
1040 0
1041 0
1042 0
1043 0
1044 0
1045 0
1046 0
1047 4
1048 0
1049 0
1050 0
1051 4
1052 0
1053 4
1054 0
1055 0
1056 0
1057 8
1058 0
1059 0
1060 0
1061 0
1062 0
1063 4
1064 0
1065 0
1066 0
1067 0
1068 0
1069 4
1070 0
1071 0
1072 12
1073 0
1074 0
1075 4
1076 0
1077 0
1078 0
1079 0
1080 0
1081 0
1082 0
1083 6
1084 12
1085 0
1086 0
1087 4
1088 0
1089 2
1090 0
1091 0
1092 24
1093 4
1094 0
1095 0
1096 0
1097 0
1098 0
1099 8
1100 0
1101 4
1102 0
1103 0
1104 0
1105 0
1106 0
1107 0
1108 12
1109 0
1110 0
1111 0
1112 0
1113 0
1114 0
1115 0
1116 12
1117 4
1118 0
1119 4
1120 0
1121 0
1122 0
1123 4
1124 0
1125 0
1126 0
1127 0
1128 0
1129 4
1130 0
1131 0
1132 12
1133 0
1134 0
1135 0
1136 0
1137 4
1138 0
1139 0
1140 0
1141 8
1142 0
1143 4
1144 0
1145 0
1146 0
1147 8
1148 0
1149 0
1150 0
1151 0
1152 0
1153 4
1154 0
1155 0
1156 6
1157 0
1158 0
1159 8
1160 0
1161 4
1162 0
1163 0
1164 12
1165 0
1166 0
1167 0
1168 12
1169 0
1170 0
1171 4
1172 0
1173 0
1174 0
1175 0
1176 0
1177 0
1178 0
1179 0
1180 0
1181 0
1182 0
1183 12
1184 0
1185 0
1186 0
1187 0
1188 0
1189 0
1190 0
1191 4
1192 0
1193 0
1194 0
1195 0
1196 0
1197 8
1198 0
1199 0
1200 6
1201 4
1202 0
1203 0
1204 24
1205 0
1206 0
1207 0
1208 0
1209 8
1210 0
1211 0
1212 0
1213 4
1214 0
1215 0
1216 12
1217 0
1218 0
1219 0
1220 0
1221 0
1222 0
1223 0
1224 0
1225 6
1226 0
1227 4
1228 12
1229 0
1230 0
1231 4
1232 0
1233 0
1234 0
1235 0
1236 12
1237 4
1238 0
1239 0
1240 0
1241 0
1242 0
1243 0
1244 0
1245 0
1246 0
1247 0
1248 0
1249 4
1250 0
1251 4
1252 12
1253 0
1254 0
1255 0
1256 0
1257 0
1258 0
1259 0
1260 0
1261 8
1262 0
1263 4
1264 12
1265 0
1266 0
1267 8
1268 0
1269 0
1270 0
1271 0
1272 0
1273 8
1274 0
1275 0
1276 0
1277 0
1278 0
1279 4
1280 0
1281 8
1282 0
1283 0
1284 0
1285 0
1286 0
1287 0
1288 0
1289 0
1290 0
1291 4
1292 0
1293 0
1294 0
1295 0
1296 6
1297 4
1298 0
1299 4
1300 12
1301 0
1302 0
1303 4
1304 0
1305 0
1306 0
1307 0
1308 12
1309 0
1310 0
1311 0
1312 0
1313 0
1314 0
1315 0
1316 0
1317 4
1318 0
1319 0
1320 0
1321 4
1322 0
1323 6
1324 12
1325 0
1326 0
1327 4
1328 0
1329 0
1330 0
1331 0
1332 12
1333 8
1334 0
1335 0
1336 0
1337 0
1338 0
1339 8
1340 0
1341 0
1342 0
1343 0
1344 12
1345 0
1346 0
1347 0
1348 12
1349 0
1350 0
1351 8
1352 0
1353 0
1354 0
1355 0
1356 0
1357 0
1358 0
1359 4
1360 0
1361 0
1362 0
1363 0
1364 0
1365 0
1366 0
1367 0
1368 0
1369 6
1370 0
1371 4
1372 24
1373 0
1374 0
1375 0
1376 0
1377 0
1378 0
1379 0
1380 0
1381 4
1382 0
1383 0
1384 0
1385 0
1386 0
1387 8
1388 0
1389 4
1390 0
1391 0
1392 0
1393 8
1394 0
1395 0
1396 12
1397 0
1398 0
1399 4
1400 0
1401 0
1402 0
1403 0
1404 12
1405 0
1406 0
1407 8
1408 0
1409 0
1410 0
1411 0
1412 0
1413 4
1414 0
1415 0
1416 0
1417 8
1418 0
1419 0
1420 0
1421 0
1422 0
1423 4
1424 0
1425 4
1426 0
1427 0
1428 0
1429 4
1430 0
1431 0
1432 0
1433 0
1434 0
1435 0
1436 0
1437 0
1438 0
1439 0
1440 0
1441 0
1442 0
1443 8
1444 18
1445 0
1446 0
1447 4
1448 0
1449 0
1450 0
1451 0
1452 6
1453 4
1454 0
1455 0
1456 24
1457 0
1458 0
1459 4
1460 0
1461 4
1462 0
1463 0
1464 0
1465 0
1466 0
1467 4
1468 12
1469 0
1470 0
1471 4
1472 0
1473 0
1474 0
1475 0
1476 0
1477 8
1478 0
1479 0
1480 0
1481 0
1482 0
1483 4
1484 0
1485 0
1486 0
1487 0
1488 12
1489 4
1490 0
1491 0
1492 12
1493 0
1494 0
1495 0
1496 0
1497 4
1498 0
1499 0
1500 0
1501 8
1502 0
1503 0
1504 0
1505 0
1506 0
1507 0
1508 0
1509 0
1510 0
1511 0
1512 0
1513 0
1514 0
1515 0
1516 12
1517 0
1518 0
1519 12
1520 0
1521 6
1522 0
1523 0
1524 12
1525 4
1526 0
1527 0
1528 0
1529 0
1530 0
1531 4
1532 0
1533 8
1534 0
1535 0
1536 0
1537 0
1538 0
1539 4
1540 0
1541 0
1542 0
1543 4
1544 0
1545 0
1546 0
1547 0
1548 12
1549 4
1550 0
1551 0
1552 12
1553 0
1554 0
1555 0
1556 0
1557 0
1558 0
1559 0
1560 0
1561 8
1562 0
1563 0
1564 0
1565 0
1566 0
1567 4
1568 0
1569 4
1570 0
1571 0
1572 0
1573 4
1574 0
1575 4
1576 0
1577 0
1578 0
1579 4
1580 0
1581 0
1582 0
1583 0
1584 0
1585 0
1586 0
1587 2
1588 12
1589 0
1590 0
1591 8
1592 0
1593 0
1594 0
1595 0
1596 24
1597 4
1598 0
1599 0
1600 6
1601 0
1602 0
1603 8
1604 0
1605 0
1606 0
1607 0
1608 0
1609 4
1610 0
1611 0
1612 24
1613 0
1614 0
1615 0
1616 0
1617 0
1618 0
1619 0
1620 0
1621 4
1622 0
1623 4
1624 0
1625 0
1626 0
1627 4
1628 0
1629 4
1630 0
1631 0
1632 0
1633 0
1634 0
1635 0
1636 12
1637 0
1638 0
1639 0
1640 0
1641 4
1642 0
1643 0
1644 0
1645 0
1646 0
1647 4
1648 12
1649 0
1650 0
1651 8
1652 0
1653 0
1654 0
1655 0
1656 0
1657 4
1658 0
1659 8
1660 0
1661 0
1662 0
1663 4
1664 0
1665 0
1666 0
1667 0
1668 12
1669 4
1670 0
1671 0
1672 0
1673 0
1674 0
1675 4
1676 0
1677 8
1678 0
1679 0
1680 0
1681 2
1682 0
1683 0
1684 12
1685 0
1686 0
1687 8
1688 0
1689 0
1690 0
1691 0
1692 0
1693 4
1694 0
1695 0
1696 0
1697 0
1698 0
1699 4
1700 0
1701 4
1702 0
1703 0
1704 0
1705 0
1706 0
1707 0
1708 24
1709 0
1710 0
1711 0
1712 0
1713 4
1714 0
1715 0
1716 0
1717 0
1718 0
1719 0
1720 0
1721 0
1722 0
1723 4
1724 0
1725 0
1726 0
1727 0
1728 6
1729 16
1730 0
1731 4
1732 12
1733 0
1734 0
1735 0
1736 0
1737 4
1738 0
1739 0
1740 0
1741 4
1742 0
1743 0
1744 12
1745 0
1746 0
1747 4
1748 0
1749 0
1750 0
1751 0
1752 0
1753 4
1754 0
1755 0
1756 12
1757 0
1758 0
1759 4
1760 0
1761 0
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