I think the first two numbers are
1789 and 1796
And the future of the sequence is
1976 1980 1980 1992 2000 2008
The pattern is:
The years of the first US presidential election that each president was on the winning side of
The pattern "seems" to distort near the end because:
Nixon was elected to the vice presidential position before he was elected as president, and Gerald Ford was never elected to office at all.
Actually, I think the original list of numbers may have contained an error.
I think 1836 should be 1832, because van Buren was elected vice president in Jackson's second term.