The election of Mr. Adams by the House of Representatives was followed after the adjournment of Congress by a correspondence between Mr. Buchanan and General Jackson, commencing in the spring of 1825 and extending to August, 1827. This correspondence shows, first, the terms on which General Jackson and Mr. Buchanan parted in Washington in the spring of 1825; and in the next place it fixes the time and mode in which the idea was first presented to the mind of General Jackson that Mr. Buchanan came to him in December, 1824, as a friend of Mr. Clay. The reader will observe that, while the election of Mr. Adams was a recent event, while the country was ringing with the charge of a “corrupt coalition” between Mr. Adams and Mr. Clay, and down to the 29th of January, 1827, during the whole of which period General Jackson’s mind was peculiarly excited by what he may have believed concerning the means by which his rival had become President, there is no trace in this correspondence of any feeling on his part that Mr. Buchanan had ever been in any way connected with the supposed bargain, or with any effort to make a similar bargain between General Jackson and Mr. Clay, or that Mr. Buchanan knew of any important fact that would tend to support the charge of a bargain between Mr. Adams and Mr. Clay. It was not until the summer of 1827, nearly three years after the conversation between General Jackson and Mr. Buchanan, that the General appears to have had an erroneous impression of Mr. Buchanan’s purpose in seeking that interview. [MR. BUCHANAN TO GENERAL JACKSON.] MAY 29, 1825. MY DEAR GENERAL:— I write this letter from Mercersburg, being now on a visit to my mother and the family. I have no news of any importance to communicate, but both inclination and duty conspire to induce me to trouble you occasionally with a few lines, whilst you must be gratefully remembered by every American citizen who feels an interest in the character of his country’s glory. You have imposed additional obligations upon me by the uniform kindness and courtesy with which you have honored me.