卢卡斯数列前100项
的有关信息介绍如下:
卢卡斯数列前100项
卢卡斯数列(Lucas sequence)是一种类似于斐波那契数列的整数序列,其定义如下:
- $ L_0 = 2 $
- $ L_1 = 1 $
- 对于 $ n \geq 2 $,$ L_n = L_{n-1} + L_{n-2} $
下面列出卢卡斯数列的前100项:
plaintext L_0 = 2 L_1 = 1 L_2 = 3 (2 + 1) L_3 = 4 (1 + 3) L_4 = 7 (3 + 4) L_5 = 11 (4 + 7) L_6 = 18 (7 + 11) L_7 = 29 (11 + 18) L_8 = 47 (18 + 29) L_9 = 76 (29 + 47) L_10 = 123 (47 + 76) L_11 = 199 (76 + 123) L_12 = 322 (123 + 199) L_13 = 521 (199 + 322) L_14 = 843 (322 + 521) L_15 = 1364 (521 + 843) L_16 = 2207 (843 + 1364) L_17 = 3571 (1364 + 2207) L_18 = 5778 (2207 + 3571) L_19 = 9349 (3571 + 5778) L_20 = 15127 (5778 + 9349) L_21 = 24476 (9349 + 15127) L_22 = 39603 (15127 + 24476) L_23 = 64079 (24476 + 39603) L_24 = 103682 (39603 + 64079) L_25 = 167761 (64079 + 103682) L_26 = 271443 (103682 + 167761) L_27 = 439204 (167761 + 271443) L_28 = 710647 (271443 + 439204) L_29 = 1150851 (439204 + 710647) L_30 = 1861498 (710647 + 1150851) L_31 = 3012349 (1150851 + 1861498) L_32 = 4873847 (1861498 + 3012349) L_33 = 7886196 (3012349 + 4873847) L_34 = 12759043 (4873847 + 7886196) L_35 = 20655239 (7886196 + 12759043) L_36 = 33414282 (12759043 + 20655239) L_37 = 54069521 (20655239 + 33414282) L_38 = 87483703 (33414282 + 54069521) L_39 = 141553224 (54069521 + 87483703) L_40 = 229036927 (87483703 + 141553224) L_41 = 370590151 (141553224 + 229036927) L_42 = 599627078 (229036927 + 370590151) L_43 = 970217229 (370590151 + 599627078) L_44 = 1569844307 (599627078 + 970217229) L_45 = 2540061536 (970217229 + 1569844307) L_46 = 4109905843 (1569844307 + 2540061536) L_47 = 6650067379 (2540061536 + 4109905843) L_48 = 10759973222 (4109905843 + 6650067379) L_49 = 17410040601 (6650067379 + 10759973222) L_50 = 28169013823 (10759973222 + 17410040601) L_51 = 45579054424 (17410040601 + 28169013823) L_52 = 73748068247 (28169013823 + 45579054424) L_53 = 119327122671 (45579054424 + 73748068247) L_54 = 193075190918 (73748068247 + 119327122671) L_55 = 312402313589 (119327122671 + 193075190918) L_56 = 505477504507 (193075190918 + 312402313589) L_57 = 817879818096 (312402313589 + 505477504507) L_58 = 1323357322603 (505477504507 + 817879818096) L_59 = 2141237140699 (817879818096 + 1323357322603) L_60 = 3464594463302 (1323357322603 + 2141237140699) L_61 = 5605831603901 (2141237140699 + 3464594463302) L_62 = 9070426067203 (3464594463302 + 560583



