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 A275727 a(0) = 0, for n >= 1, a(n) = A275736(n) + 2*a(A257684(n)). 8
 0, 1, 2, 3, 2, 3, 4, 5, 6, 7, 6, 7, 4, 5, 6, 7, 6, 7, 4, 5, 6, 7, 6, 7, 8, 9, 10, 11, 10, 11, 12, 13, 14, 15, 14, 15, 12, 13, 14, 15, 14, 15, 12, 13, 14, 15, 14, 15, 8, 9, 10, 11, 10, 11, 12, 13, 14, 15, 14, 15, 12, 13, 14, 15, 14, 15, 12, 13, 14, 15, 14, 15, 8, 9, 10, 11, 10, 11, 12, 13, 14, 15, 14, 15, 12, 13, 14, 15 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n) has ones in those positions of its base-2 representation where n has nonzero digits in its factorial base representation. LINKS Antti Karttunen, Table of n, a(n) for n = 0..40320 FORMULA a(0) = 0, for n >= 1, a(n) = A275736(n) + 2*a(A257684(n)). a(n) = A048675(A275733(n)). Other identities and observations. For all n >= 0: A000120(a(n)) = A060130(n). EXAMPLE For n=19, A007236(19) = 301, thus a(19) = 5 because A007088(5) = 101. PROG (Scheme, with memoization-macro definec) (definec (A275727 n) (if (zero? n) n (+ (A275736 n) (* 2 (A275727 (A257684 n)))))) (define (A275727 n) (A048675 (A275733 n))) CROSSREFS Cf. A000120, A007088, A007623, A048675, A060130, A257684, A275733, A275736. Cf. also A275728. Sequence in context: A286717 A162751 A026342 * A255395 A175266 A320053 Adjacent sequences: A275724 A275725 A275726 * A275728 A275729 A275730 KEYWORD nonn,base,look AUTHOR Antti Karttunen, Aug 09 2016 STATUS approved

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Last modified February 8 23:03 EST 2023. Contains 360153 sequences. (Running on oeis4.)