Empirical for n mod 24 = 0: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (38983951/176947200)*n^7 + (2417510869/557383680)*n^6 + (7370236897/116121600)*n^5 + (453989831497/696729600)*n^4 + (759314988727/159667200)*n^3 + (7231624657/532224)*n^2 - (16414451237/720720)*n - 505867 for n>30 Empirical for n mod 24 = 1: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957796789/118908518400)*n^8 + (2182995881/9909043200)*n^7 + (154704109669/35672555520)*n^6 + (3769160860649/59454259200)*n^5 + (28801701877003/44590694400)*n^4 + (3107673537603517/653996851200)*n^3 + (1192210031711371/87199580160)*n^2 - (1435409896391299/53137244160)*n - (119367083155151/226492416) for n>30 Empirical for n mod 24 = 2: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (272860027/1238630400)*n^7 + (3867145231/891813888)*n^6 + (14727392159/232243200)*n^5 + (7228887920077/11147673600)*n^4 + (3027755837593/638668800)*n^3 + (2389435936199/170311680)*n^2 - (77424537860123/3321077760)*n - (1313563317341/2654208) for n>30 Empirical for n mod 24 = 3: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957778789/118908518400)*n^8 + (311848223/1415577600)*n^7 + (154668009157/35672555520)*n^6 + (3768933274409/59454259200)*n^5 + (29017170627703/44590694400)*n^4 + (3173427189271837/653996851200)*n^3 + (1127797936362187/87199580160)*n^2 - (80576695039663/5904138240)*n - (4037216280589/8388608) for n>30 Empirical for n mod 24 = 4: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (38983951/176947200)*n^7 + (2417510869/557383680)*n^6 + (7370236897/116121600)*n^5 + (453989831497/696729600)*n^4 + (759314988727/159667200)*n^3 + (7231624657/532224)*n^2 - (167093204933/6486480)*n - (1405293311/3456) for n>30 Empirical for n mod 24 = 5: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957796789/118908518400)*n^8 + (2182995881/9909043200)*n^7 + (154704109669/35672555520)*n^6 + (3769160860649/59454259200)*n^5 + (28801701877003/44590694400)*n^4 + (3107673537603517/653996851200)*n^3 + (1192210031711371/87199580160)*n^2 - (1593618496701059/53137244160)*n - (373765764324461/679477248) for n>30 Empirical for n mod 24 = 6: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (272860027/1238630400)*n^7 + (3867145231/891813888)*n^6 + (14727392159/232243200)*n^5 + (7228887920077/11147673600)*n^4 + (3027755837593/638668800)*n^3 + (2389435936199/170311680)*n^2 - (6302971193347/369008640)*n - (18198769741/32768) for n>30 Empirical for n mod 24 = 7: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957778789/118908518400)*n^8 + (311848223/1415577600)*n^7 + (154668009157/35672555520)*n^6 + (3768933274409/59454259200)*n^5 + (29017170627703/44590694400)*n^4 + (3173427189271837/653996851200)*n^3 + (1127797936362187/87199580160)*n^2 - (949477970848807/53137244160)*n - (92586322288991/226492416) for n>30 Empirical for n mod 24 = 8: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (38983951/176947200)*n^7 + (2417510869/557383680)*n^6 + (7370236897/116121600)*n^5 + (453989831497/696729600)*n^4 + (759314988727/159667200)*n^3 + (7231624657/532224)*n^2 - (188155446133/6486480)*n - (45158710/81) for n>30 Empirical for n mod 24 = 9: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957796789/118908518400)*n^8 + (2182995881/9909043200)*n^7 + (154704109669/35672555520)*n^6 + (3769160860649/59454259200)*n^5 + (28801701877003/44590694400)*n^4 + (3107673537603517/653996851200)*n^3 + (1192210031711371/87199580160)*n^2 - (134569131211051/5904138240)*n - (4551852937053/8388608) for n>30 Empirical for n mod 24 = 10: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (272860027/1238630400)*n^7 + (3867145231/891813888)*n^6 + (14727392159/232243200)*n^5 + (7228887920077/11147673600)*n^4 + (3027755837593/638668800)*n^3 + (2389435936199/170311680)*n^2 - (66640670365723/3321077760)*n - (368567606303/884736) for n>30 Empirical for n mod 24 = 11: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957778789/118908518400)*n^8 + (311848223/1415577600)*n^7 + (154668009157/35672555520)*n^6 + (3768933274409/59454259200)*n^5 + (29017170627703/44590694400)*n^4 + (3173427189271837/653996851200)*n^3 + (1127797936362187/87199580160)*n^2 - (1107686571158567/53137244160)*n - (384360066425885/679477248) for n>30 Empirical for n mod 24 = 12: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (38983951/176947200)*n^7 + (2417510869/557383680)*n^6 + (7370236897/116121600)*n^5 + (453989831497/696729600)*n^4 + (759314988727/159667200)*n^3 + (7231624657/532224)*n^2 - (16414451237/720720)*n - (55461101/128) for n>30 Empirical for n mod 24 = 13: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957796789/118908518400)*n^8 + (2182995881/9909043200)*n^7 + (154704109669/35672555520)*n^6 + (3769160860649/59454259200)*n^5 + (28801701877003/44590694400)*n^4 + (3107673537603517/653996851200)*n^3 + (1192210031711371/87199580160)*n^2 - (1435409896391299/53137244160)*n - (101940459396815/226492416) for n>30 Empirical for n mod 24 = 14: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (272860027/1238630400)*n^7 + (3867145231/891813888)*n^6 + (14727392159/232243200)*n^5 + (7228887920077/11147673600)*n^4 + (3027755837593/638668800)*n^3 + (2389435936199/170311680)*n^2 - (77424537860123/3321077760)*n - (1611184719965/2654208) for n>30 Empirical for n mod 24 = 15: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957778789/118908518400)*n^8 + (311848223/1415577600)*n^7 + (154668009157/35672555520)*n^6 + (3768933274409/59454259200)*n^5 + (29017170627703/44590694400)*n^4 + (3173427189271837/653996851200)*n^3 + (1127797936362187/87199580160)*n^2 - (80576695039663/5904138240)*n - (3559972904973/8388608) for n>30 Empirical for n mod 24 = 16: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (38983951/176947200)*n^7 + (2417510869/557383680)*n^6 + (7370236897/116121600)*n^5 + (453989831497/696729600)*n^4 + (759314988727/159667200)*n^3 + (7231624657/532224)*n^2 - (167093204933/6486480)*n - (12938437/27) for n>30 Empirical for n mod 24 = 17: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957796789/118908518400)*n^8 + (2182995881/9909043200)*n^7 + (154704109669/35672555520)*n^6 + (3769160860649/59454259200)*n^5 + (28801701877003/44590694400)*n^4 + (3107673537603517/653996851200)*n^3 + (1192210031711371/87199580160)*n^2 - (1593618496701059/53137244160)*n - (426045635599469/679477248) for n>30 Empirical for n mod 24 = 18: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (272860027/1238630400)*n^7 + (3867145231/891813888)*n^6 + (14727392159/232243200)*n^5 + (7228887920077/11147673600)*n^4 + (3027755837593/638668800)*n^3 + (2389435936199/170311680)*n^2 - (6302971193347/369008640)*n - (14524431437/32768) for n>30 Empirical for n mod 24 = 19: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957778789/118908518400)*n^8 + (311848223/1415577600)*n^7 + (154668009157/35672555520)*n^6 + (3768933274409/59454259200)*n^5 + (29017170627703/44590694400)*n^4 + (3173427189271837/653996851200)*n^3 + (1127797936362187/87199580160)*n^2 - (949477970848807/53137244160)*n - (105471893430623/226492416) for n>30 Empirical for n mod 24 = 20: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (38983951/176947200)*n^7 + (2417510869/557383680)*n^6 + (7370236897/116121600)*n^5 + (453989831497/696729600)*n^4 + (759314988727/159667200)*n^3 + (7231624657/532224)*n^2 - (188155446133/6486480)*n - (5027835005/10368) for n>30 Empirical for n mod 24 = 21: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957796789/118908518400)*n^8 + (2182995881/9909043200)*n^7 + (154704109669/35672555520)*n^6 + (3769160860649/59454259200)*n^5 + (28801701877003/44590694400)*n^4 + (3107673537603517/653996851200)*n^3 + (1192210031711371/87199580160)*n^2 - (134569131211051/5904138240)*n - (3906422427485/8388608) for n>30 Empirical for n mod 24 = 22: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957788509/118908518400)*n^8 + (272860027/1238630400)*n^7 + (3867145231/891813888)*n^6 + (14727392159/232243200)*n^5 + (7228887920077/11147673600)*n^4 + (3027755837593/638668800)*n^3 + (2389435936199/170311680)*n^2 - (66640670365723/3321077760)*n - (467774740511/884736) for n>30 Empirical for n mod 24 = 23: a(n) = (1/314887372800)*n^13 + (1187/1961990553600)*n^12 + (41537/653996851200)*n^11 + (320813/71345111040)*n^10 + (6702121/29727129600)*n^9 + (957778789/118908518400)*n^8 + (311848223/1415577600)*n^7 + (154668009157/35672555520)*n^6 + (3768933274409/59454259200)*n^5 + (29017170627703/44590694400)*n^4 + (3173427189271837/653996851200)*n^3 + (1127797936362187/87199580160)*n^2 - (1107686571158567/53137244160)*n - (345703353000989/679477248) for n>30