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Shuk Dev Jee said - "Hey Pareekshit!  Once a son was born from Manu's sneeze, his name was Ikshwaaku. Ikshwaaku had 100 sons. Three were the eldest - Vikukshi, Nimi, and Dandak. 

Vikukshi got famous as Shashaad. He had a son Puranjay. Some called him "Indravaah" and some called him "Kukutsth". 

Puranjay's son was 'Anenaa' and his son was Prithu. Prithu's son was Vishwarandhi, his son was Chandra, his son was Yuvanaashwa, his son was Shaabast. Shaabast had a son named Brihdaashwa and his son was Kuvalyaashwa (known as Dhundhumaar). 

He had  three sons - Dridhaashwa, Kapilaashwa and Bhadraashwa. Dridhaashwa had a son named Haryashwa, his son was Nikumbh, his son was Barhanaashwa, his son was Krishaashwa, and his son was Senjit. Senjit had the son Yuvanaashwa. Yuvanaashwa was childless, so he was very sad. He went to forest with his 100 wives. There he did a Yagya of Indra Devtaa to get a son with the help of Rishi...

So he got Maandhaataa... Indra named that boy "Trasdasyu" because Raavan etc. Dasyu (robbers) were scared of him. Maandhaataa became the Raajaa after Yuvanaashwa died. He ruled the 7-Dweep Prithvi alone.

Maandhaataa had three sons - Purukuts, Ambreesh and Yogee Muchukund. Ambreesh was the best son of Maandhaataa. He had Yuvanaashwa, and Yuvanaashwa had Haareet. Purukuts had Trasdrasyu,  and he had Anranya, and he had Haryaashwa, and he had Arun, he had Tribandhan, and he had Satyavrat (known as Trishanku), Trishanku had Harishchandra, and he had Rohit.

Rohit had Harit, Harit had Champ, Champ had Sudev, Sudev had Vijay, Vijay had Bharuk, Bharuk had Vrik, Vrik had Baahuk, Baahuk had Sagar, Sagar had Asmanjas, Asmanjas had Anshumaan, Anshumaan had Dileep, Dileep had Bhageerath.

Bhageerath had Shrut, Shrut had Naabh, Sidhudweep, Ayutaaryu, Rituparn, Sarvkaam, Saudaas (known as Mitrasah and Kalmaashpaad), Ashmak, Moolak, Dashrath, Edvid, Vishwasah, Khatwaang.

Khatwaang had he son named Deerghbaahu, Raghu, Aj, Dashrath. And dashrath had four sons - Raam, Lakshman, Bharat, and Shatrughn.

[Taken from Shree Mad-Bhaagvat Puraan, Skandh 9, Chapter 6-10]