我觉得应该用单数更合适。one after anther 强调的是一个接一个，按照临近原则，也应该用单数。我也见过类似的句子。但你希望有比较权威的例句，我找到了一个类似的句子：

 “One customer after another has been buying shoes today!”

one after another 的意思是在词典上可以查到，它表示：一个一个。它是表示单数呢还是表示复数？如果它用作主语呢？后面的谓语动词是用单数还是用复数？比如下面这句：

One after another got up and left. 一个一个起身离开。

这个句子没有涉及主谓一致问题，假若是这样写的呢？

One after another _____ asked to enter the room.

A. was        B. were

解答如下：答案A为正确答案

（one after another=one +单数名词+after+ another +单数名词）

应该如何选？请专家老师指点！希望有比较权威的原始例句作支持！谢谢！

(1)one after anotehr 意思“相继地，依次地; 先后; 连; 接二连三，一个接一个地，一个又一个地”一般在句中作状语。

They went into the classroom one after another.  

他们一个接一个地走进教室.

The enemy strongholds fell one after another.  

敌方据点相继被攻破.

One after another, all of them fell asleep.  

那些人一个接一个地睡着了.

The delegates arrived one after another.  

代表们陆续到达.

The guests came one after another.  

客人们陆续来了.

They left the room one after another. 

他们一个一个地离开了房间。

We achieved victories one after another. 

我们取得了一个又一个的胜利。

 Foreign archaeologists are arriving one after another.  

外国的考古学者们联翩而至.

 People took the floor one after another.  

会上发言踊跃.

Archaeological finds have been made one after another.  

地下文物迭有发现.

School was over and students went out of the school gate one after another. 

放学了，学生们一个接一个地走出校门

Planes took offone after another. 

飞机陆续起飞。

One after another all his plans have failed.

他的计划都一一失败了。

He begins opening bottles one after another.

他开始一个接一个地开瓶子。

（备注1：one after another 指三者或三者以上，若指两者则用 one after the other, 但在现代英语中，两者常可换用。）

Difficulties arose one after another （the other）. 

问题一个一个地冒了出来。

（备注2 另外，One after another 通常用作状语，有时也用作主语。作主语一般用单数,one after another=one +名词+after another ）

One after another stood up and went out. 

人们一个一个地站起来，走了出去。

One after another began to choke, and at the end all the women were weeping. 

人们一个接一个哽咽起来，到结束的时候妇女们全都哭了。

One after another rose to speak and pulled all his arguments to pieces.

他们纷纷起来发言，把他驳得体无完肤。

one hour after another slips away

一个小时又一个小时溜走了。

(2) one another 为相互代词，意思“相互，彼此。”

We should help one another. 

我们应该互相帮助。

The members of the team support one another. 

队员们相互支持。

They don't get on at all well together/with one another.
他们彼此极不和。

The two rooms open into one another.
这两个房间有门相通。

The students vary from one another in character.
学生们的性格各不相同。

They three get along well with one another; one is married, another is still a bachelor, and the other has a girl friend.
他们三人彼此相处愉快; 一个已婚，一个仍是光棍，而另一个则已有了女友。

Sadness and gladness succeed one another.
[谚]乐极生悲，苦尽甘来。

The Irish is a fair people; they never speak well of one another.
爱尔兰人是公平的人民，他们决不互相称赞。

（备注1： one another 一定用于三者或三者以上， 而用于两者须用 each other。但在现代英语中，两者常可换用。）

The boy and girl are deeply in love with one another （each other）. 

这男孩和女孩深深地相爱着。

The sea and the sky seem to melt into one another （each other）. 

大海与蓝天似乎融为一体。

（备注2：另外，one another 可以有所有格形式。）

Those two are always copying one another’s （each other’s） homework. 

那两个人总是相那两个人总是相互抄袭作业。