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COMMENTS
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The array of a(n) and its repeated differences:
1, 0, 1, 0, 2, 3, 8, 14, ...
-1, 1, -1, 2, 1, 5, 6, 15, ...
2, -2, 3, -1, 4, 1, 9, 12, ...
-4, 5, -4, 5, -3, 8, 3, 19, ...
9, -9, 9, -8, 11, -5, 16, 5, ...
-18, 18, -17, 19, -16, 21, -11, 32, ...
36, -35, 36, -35, 37, -32, 43, -21, ...
-71, 71, -71, 72, -69, 75, -64, 85, ...
...
The recurrence is the same for every row.
It appears that, when odd, a(n) is never a multiple of 5.
Main and 3rd upper diagonals of the difference array are A001045 (Jacobsthal numbers); first upper diagonal is negated A001045; second upper diagonal is A000079 (powers of 2); 4th upper diagonal is A062092.
(End)
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