The acceleration formula for Zeta(, 6, ) is 4 3 2 3 1 (201 x + 1308 x + 3201 x + 3492 x + 1433) (x + 1) [--------, [[-----------------------------------------------------, - 6 6 (z + 1) 128 (6 x + 5) (2 x + 3) 6 5 4 3 2 (6615 x + 51786 x + 165405 x + 274632 x + 248659 x + 115802 x + 21646) 3 / 6 7 6 (x + 1) / (768 (6 x + 5) (3 x + 2) (2 x + 3) ), (6615 x + 54880 x / 5 4 3 2 + 189897 x + 353622 x + 380795 x + 235940 x + 77578 x + 10408) 3 / 6 9 (x + 1) / (768 (6 x + 5) (1 + 2 x) (2 x + 3) ), - (136269 x / 8 7 6 5 4 + 1214325 x + 4640937 x + 9947733 x + 13134545 x + 11047425 x 3 2 4 / + 5907244 x + 1933390 x + 351000 x + 26912) (x + 1) / (1536 (3 x + 2) / 6 11 10 (1 + 2 x) (1 + 3 x) (6 x + 5) (2 x + 3) ), (154791 x + 1514436 x 9 8 7 6 5 + 6476645 x + 15879528 x + 24584922 x + 24925238 x + 16576183 x 4 3 2 3 / + 7016252 x + 1747215 x + 208168 x + 2786 x - 940) (x + 1) / (1536 / 6 (6 x + 5) (1 + 2 x) (1 + 3 x) (1 + 6 x) (2 x + 3) )], [ 2 3 7 (3 x + 5) (12 x + 39 x + 32) (x + 1) ----------------------------------------, 6 64 (6 x + 5) (2 x + 3) 5 4 3 2 3 (2652 x + 16535 x + 39893 x + 46184 x + 25464 x + 5360) (x + 1) - --------------------------------------------------------------------, 7 6 128 (6 x + 5) (3 x + 2) (2 x + 3) 6 5 4 3 2 (1080 x + 7233 x + 19401 x + 26498 x + 19320 x + 7110 x + 1030) 3 / 6 8 7 (x + 1) / (384 (6 x + 5) (1 + 2 x) (2 x + 3) ), - (47208 x + 344071 x / 6 5 4 3 2 + 1046358 x + 1727255 x + 1688192 x + 999194 x + 349424 x + 65942 x 4 / + 5140) (x + 1) / (256 (3 x + 2) (1 + 2 x) (1 + 3 x) (6 x + 5) / 6 10 9 8 7 6 (2 x + 3) ), (92232 x + 702135 x + 2226819 x + 3738750 x + 3374986 x 5 4 3 2 + 1201443 x - 544659 x - 758126 x - 321624 x - 60918 x - 4190) 3 / 6 (x + 1) / (768 (6 x + 5) (1 + 2 x) (1 + 3 x) (1 + 6 x) (2 x + 3) )], [ / 2 3 21 (23 x + 76 x + 63) (x + 1) -------------------------------, 6 128 (6 x + 5) (2 x + 3) 4 3 2 3 7 (693 x + 3204 x + 5245 x + 3560 x + 856) (x + 1) - ------------------------------------------------------, 6 256 (6 x + 5) (3 x + 2) (2 x + 3) 5 4 3 2 3 (4339 x + 22058 x + 42203 x + 37714 x + 15776 x + 2476) (x + 1) --------------------------------------------------------------------, - ( 6 256 (6 x + 5) (1 + 2 x) (2 x + 3) 7 6 5 4 3 2 71505 x + 403767 x + 915905 x + 1079691 x + 715048 x + 265912 x 4 / + 51276 x + 3944) (x + 1) / (512 (3 x + 2) (1 + 2 x) (1 + 3 x) / 6 9 8 7 6 (6 x + 5) (2 x + 3) ), - (4557 x + 93394 x + 491965 x + 1251216 x 5 4 3 2 + 1827597 x + 1621300 x + 875225 x + 275586 x + 45332 x + 2900) 3 / 6 (x + 1) / (512 (6 x + 5) (1 + 2 x) (1 + 3 x) (1 + 6 x) (2 x + 3) )], [ / 3 3 2 3 35 (3 x + 5) (x + 1) 7 (429 x + 1283 x + 1144 x + 320) (x + 1) -----------------------, - --------------------------------------------, 6 6 64 (6 x + 5) (2 x + 3) 384 (6 x + 5) (3 x + 2) (2 x + 3) 4 3 2 3 7 (357 x + 1233 x + 1450 x + 704 x + 120) (x + 1) -----------------------------------------------------, - 6 384 (6 x + 5) (1 + 2 x) (2 x + 3) 6 5 4 3 2 (34257 x + 136390 x + 207165 x + 154976 x + 59936 x + 11172 x + 760) 4 / 6 (x + 1) / (768 (3 x + 2) (1 + 2 x) (1 + 3 x) (6 x + 5) (2 x + 3) ), - ( / 8 7 6 5 4 3 42525 x + 267813 x + 708558 x + 1038742 x + 915983 x + 490757 x 2 3 / + 153466 x + 25100 x + 1600) (x + 1) / (768 (6 x + 5) (1 + 2 x) / 3 6 35 (x + 1) (1 + 3 x) (1 + 6 x) (2 x + 3) )], [------------------------, 6 128 (6 x + 5) (2 x + 3) 3 3 2 3 35 (3 x + 2) (x + 1) 7 (103 x + 186 x + 108 x + 20) (x + 1) - ------------------------, -----------------------------------------, 6 6 256 (6 x + 5) (2 x + 3) 768 (6 x + 5) (1 + 2 x) (2 x + 3) 4 7 (3 x + 2) (13 x + 8) (x + 1) x - ----------------------------------, - 6 512 (6 x + 5) (1 + 2 x) (2 x + 3) 6 5 4 3 2 (8821 x + 33939 x + 55191 x + 47329 x + 21906 x + 4980 x + 400) 3 / 6 (x + 1) / (1536 (1 + 6 x) (1 + 2 x) (6 x + 5) (2 x + 3) )]], [ / 3 2 777 x + 649 105 x + 419 x + 496 x + 182 -------------, -----------------------------, 128 (6 x + 5) 768 (6 x + 5) (3 x + 2) 4 3 2 105 x + 245 x + 82 x - 142 x - 84 7 6 5 - ------------------------------------, (2163 x + 8533 x + 14833 x 768 (6 x + 5) (1 + 2 x) 4 3 2 + 17141 x + 16156 x + 11318 x + 4624 x + 784)/(1536 (3 x + 2) (1 + 2 x) 8 7 6 5 4 (1 + 3 x) (6 x + 5)), - (2457 x + 9345 x + 15778 x + 14168 x + 895 x 3 2 - 15111 x - 17758 x - 8570 x - 1540)/(1536 (6 x + 5) (1 + 2 x) (1 + 3 x) (1 + 6 x))], 0.0002441406250] The error in using 30 terms is -0.1934506232770432920322851794714641493444483317506012453706594604154155372\ -111 829885900402401 10