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 A295895 Parity of the binary weight of the contents of node n in Doudna-tree (A005940). 6
 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 LINKS Antti Karttunen, Table of n, a(n) for n = 0..16383 FORMULA a(n) = A000035(A295894(n)) = A010060(A005940(1+n)). a(0) = 1; after which, a(2n+1) = a(n), a(2n) = a(n) + A295893(n) mod 2. a(n) = A295875(n) + A295896(n) mod 2. If n is even and A295896(n) = 1 [i.e., when n is even and A005940(1+n) is a square], then a(n) = A010059(A292602(n)). EXAMPLE The first six levels of the binary tree (compare also to the illustrations given at A005940, A295894 and A295875):                                1                                |                                1                 ............../ \..............                0                               1         ....../ \......                 ....../ \......        0               0               0               1       / \             / \             / \             / \      /   \           /   \           /   \           /   \     1     0         0     0         1     0         0     1    / \   / \       / \   / \       / \   / \       / \   / \   1   1 1   0     1   0 0   0     1   1 0   0     0   0 1   1 PROG (Scheme) (definec (A295895 n) (cond ((zero? n) 1) ((odd? n) (A295895 (/ (- n 1) 2))) (else (A000035 (+ (A295893 (/ n 2)) (A295895 (/ n 2))))))) CROSSREFS Cf. A000035, A005940, A010059, A010060, A292602, A295875, A295893, A295894. Cf. also A292583, A295296, A295297, A295298. Sequence in context: A113430 A214529 A113681 * A179416 A155972 A010054 Adjacent sequences:  A295892 A295893 A295894 * A295896 A295897 A295898 KEYWORD nonn AUTHOR Antti Karttunen, Nov 30 2017 STATUS approved

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Last modified April 12 22:36 EDT 2021. Contains 342933 sequences. (Running on oeis4.)