(38G) OEIS A009116 & Partial Sums

[Gerald H]

Here a programme to load the sequence aplet to produce

http://oeis.org/A009116

in column one & the partial sums of the series in column number two in numerical view.

The partial sums sequence has not (yet) been included in OEIS.

RECURSE(U,RE((-1,-1)^(N-1)),1,-1)►U1(N):
CHECK 1:
RECURSE(U,-RE(3+(1,-2)*(-1,1)^(N-2)+(1,2)*(-1,-1)^(N-2))/5+1,1,0)►U2(N):
CHECK 2: