Translation
(14) Fasting (Kitab Al-Siyam)
كتاب الصوم
(822) Chapter: Regarding Fasting In Rajab
(56) باب فِي صَوْمِ رَجَبَ
Sunan Abi Dawud 2430 
Narrated 'Uthman b. Hakim:
I asked Sa'id b. Jubair about fasting during Rajab. He said: Ibn 'Abbas told me that the Messenger of Allah (ﷺ) used to fast to such an extent that we thought that he would never break his fast; and he would go without fasting to such an extent that we thought he would never fast.
حَدَّثَنَا إِبْرَاهِيمُ بْنُ مُوسَى، حَدَّثَنَا عِيسَى، حَدَّثَنَا عُثْمَانُ، - يَعْنِي ابْنَ حَكِيمٍ - قَالَ سَأَلْتُ سَعِيدَ بْنَ جُبَيْرٍ عَنْ صِيَامِ رَجَبَ، فَقَالَ أَخْبَرَنِي ابْنُ عَبَّاسٍ، أَنَّ رَسُولَ اللَّهِ صلى الله عليه وسلم كَانَ يَصُومُ حَتَّى نَقُولَ لاَ يُفْطِرُ وَيُفْطِرُ حَتَّى نَقُولَ لاَ يَصُومُ ‏.‏
Grade :  Sahih (Al-Albani) صحيح  (الألباني)حكم :
Reference : Sunan Abi Dawud 2430
In-book reference : Book 14, Hadith 118
English translation : Book 13, Hadith 2424