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A189575
Partial sums of A189476.
2
0, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 10, 10, 10, 10, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 16, 17, 17, 17, 17, 18, 19, 19, 19, 19, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 24, 24, 25, 26, 26, 26, 27, 27, 27, 27, 28, 28, 29, 30, 30, 30, 30, 31, 31, 32, 32, 33, 34, 34
OFFSET
1,3
MATHEMATICA
t = Nest[Flatten[# /. {0->{0, 1}, 1->{1, 0, 0}}] &, {0}, 6] (*A189476*)
f[n_] := t[[n]]
s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0;
Table[s[n], {n, 1, 120}] (*A189575*)
Accumulate[Nest[Flatten[#/.{0->{0, 1}, 1->{1, 0, 0}}]&, {0}, 6]] (* Harvey P. Dale, Nov 11 2013 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Apr 23 2011
STATUS
approved