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 A292256 a(n) = A292255(A163511(n)). 8
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 6, 6, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 8, 8, 8, 9, 12, 12, 12, 12, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 6, 6, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 16, 16, 16, 16, 16, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,15 COMMENTS Because A292255(n) = a(A243071(n)), the sequence works as a "masking function" where the 1-bits in a(n) (always a subset of the 1-bits in binary expansion of n) indicate the numbers that are either of the form 12k+5 or of the form 12k+7 in binary tree A163511 (or its mirror image tree A005940) on that trajectory which leads from the root of the tree to the node containing A163511(n). The AND - XOR formulas just restate the fact that J(3|n) = J(-1|n)*J(-3|n), as the Jacobi-symbol is multiplicative (also) with respect to its upper argument. LINKS Antti Karttunen, Table of n, a(n) for n = 0..8191 FORMULA a(n) = A292255(A163511(n)). a(n) = A292264(n) AND (A292274(n) XOR A292946(n)), where AND is bitwise-and (A004198) and XOR is bitwise-XOR (A003987). a(n) = A292264(n) AND (A292271(n) XOR A292942(n)). [See comments]. For all n >= 0, a(n) + A292944(n) + A292254(n) = n. PROG (Scheme) (define (A292256 n) (A292255 (A163511 n))) CROSSREFS Cf. A005940, A163511, A292255. Cf. also A292247, A292248, A292254, A292264, A292271, A292274, A292592, A292593, A292942, A292944, A292946 (for similarly constructed sequences). Sequence in context: A072771 A292247 A194016 * A095750 A056966 A037846 Adjacent sequences:  A292253 A292254 A292255 * A292257 A292258 A292259 KEYWORD nonn AUTHOR Antti Karttunen, Sep 28 2017 STATUS approved

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Last modified February 22 12:42 EST 2020. Contains 332136 sequences. (Running on oeis4.)