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A268382
Partial sums of A268411; the least monotonic left inverse of A268415.
4
0, 1, 2, 3, 4, 4, 5, 6, 7, 7, 7, 7, 8, 8, 9, 10, 11, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 20, 21, 21, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 27, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 31, 32, 33, 33, 34, 34, 34, 34, 35, 36
OFFSET
0,3
COMMENTS
a(n) = Number of "balanced odious numbers" (A268415) in range [0..n].
LINKS
Vladimir Shevelev, Two analogs of Thue-Morse sequence, arXiv:1603.04434 [math.NT], 2016.
FORMULA
a(0) = 0; for n >= 1, a(n) = A268411(n) + a(n-1).
Other identities. For all n >= 1:
a(A268415(n)) = n.
a(n) = n - A268383(n).
PROG
(Scheme, with memoizing-macro definec)
(definec (A268382 n) (if (zero? n) n (+ (A268411 n) (A268382 (- n 1)))))
CROSSREFS
Partial sums of A268411.
Sequence in context: A236346 A306890 A116549 * A107079 A025528 A255338
KEYWORD
nonn
AUTHOR
Antti Karttunen, Feb 05 2016
STATUS
approved