欧拉计划 发表于 2017-1-5 16:18:16

题目225：泰波拿契数的非因数

Tribonacci non-divisors

The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201 ...
is defined by T1 = T2 = T3 = 1 and Tn = Tn-1 + Tn-2 + Tn-3.

It can be shown that 27 does not divide any terms of this sequence.
In fact, 27 is the first odd number with this property.

Find the 124th odd number that does not divide any terms of the above sequence.

题目：

由 T1 = T2 = T3 = 1 和 Tn = Tn-1 + Tn-2 + Tn-3 定义序列

1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201 ...

可以看出，27 不是上述序列中任何一项的因数

实际上，27 是第 1 个具有以上属性的奇数

求具有以上属性的第 124 个奇数


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