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 A110565 Results from a change in the rules leading to sequence A097357. 1
 1, 3, 4, 14, 21, 53, 69, 237, 321, 867, 1044, 3638, 5441, 13667, 17684, 60854, 81921, 221187, 266244, 931854, 1397781, 3495477, 4542789, 15555437, 21053441 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Let b_n(i) be defined as for sequence A097357. Then A097357(n) = sum(i=0...infty)b_n(i) = sum(i=1...n)b_n(i). We have: Stage 1: (1,0,0,0,0,0,0,0,0,0,0,0,0) = b_1 (disregarding initial 0); Stage 2: (1,1,0,0,0,0,0,0,0,0,0,0,0,) = b_2 (disregarding initial 0); Stage 3: (0,0,1,0,0,0,0,0,0,0,0,0,0,) = b_3 (disregarding initial 0); Stage 4: (0,1,1,1,0,0,0,0,0,0,0,0,0,) = b_4 (disregarding initial 0); Stage 5: (1,0,1,0,1,0,0,0,0,0,0,0,0,) = b_5 (disregarding initial 0); Stage 6: (1,0,1,0,1,1,0,0,0,0,0,0,0,) Stage 7: (1,0,1,0,0,0,1,0,0,0,0,0,0,) Stage 8: (1,0,1,1,0,1,1,1,0,0,0,0,0,) a(n) is defined as the number which results from interpreting the sequence b_n as a binary string read backwards from the first nonzero term. LINKS EXAMPLE a(6) = 53 since b_6 = (1,0,1,0,1,1,0,0,0,0,0,0,0) and 110101 written in base 10 is 53. CROSSREFS Cf. A097357. Sequence in context: A025107 A047182 A080878 * A057433 A006074 A081714 Adjacent sequences:  A110562 A110563 A110564 * A110566 A110567 A110568 KEYWORD nonn AUTHOR Creighton Dement, Sep 12 2005 STATUS approved

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