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[Section 2-1:
Inflecting](http://pomax.github.io/nrGrammar/#section-2-1-Inflecting) example
待た **され** ていました contradicts the [causative
formula](http://pomax.github.io/nrGrammar/#section-3-2-12-Causative:_%E3%81%9B%E3%82%8B/%E3%81%95%E3%81%9B%E3%82%8B)

In the book causative defined as 五段未然形+せる/一段未然形+させる.

待つ is a 五段 verb, so its causative form should be 待たせる, and 連用形 of this should
be 待たせ, therefore the verb should be 待た **せ** ていました.

Am I missing something here?

Can someone evaluate the
[explanation](http://pomax.github.io/nrGrammar/#section-2-1-Inflecting) of
this verb form. Is it correct or not?
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question
grammar conjugations
What is the grammatical form of 待たされていました?
待たせた = Made (someone) wait.  
待たされた = (someone)Was made to wait.

When the verb becomes causative,  
待つ -> 待たす

When the verb changes to passive mode,  
待つ -> 待たれる

When a verb becomes causative and then make it passive,  
待つ -> 待たす -> 待たされる
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answer
The other answer has it all, but here's a step-by-step inference produced by
[GeekJDict](https://github.com/kroki/GeekJDict):

```

    geekjdict>> g 待たされていました
     待たされていました is the past form of 待たされています
      待たされています is the polite form of 待たされている
       待たされている is the continuous form of 待たされて
        待たされて is the て-form of 待たされた
         待たされた is the past form of 待たされる
          待たされる is the passive form of 待たす
           see plain 待たす t: v5s
           待たす is the colloquial form of 待たせる
            see causative 待たせる t: v1
            待たせる is the causative form of 待つ
             see plain 待つ t: v5t
    
```

So 待たす is the colloquial form of 待たせる. As other comment said,
[guidetojapanese.org](http://guidetojapanese.org/) is the best resource on
Japanese grammar (and GeekJDict's grammar inference is based on it).
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answer
Because words such as 待たせられる mataserareru are considered to be difficult to
pronounce, frequently in colloquial speech, the middle part of the causative
passive would contract. That is, 待たせられる mataserareru (I was made to wait),
would become 待たされる matasareru. Another example such as "(I) was made to buy
(something)" would formally be 買わせられた kawaserareta from the verb 買う kau, but
colloquially, it is frequently contracted to 買わされた kawasareta. This
abbreviation is not used for ichidan verbs, nor for the irregular する suru and
くる kuru.
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answer