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 A088172 First differences of A019300. 2
 1, 2, 3, 7, 13, 26, 53, 106, 211, 422, 845, 1689, 3379, 6758, 13515, 27031, 54061, 108122, 216245, 432489, 864979, 1729958, 3459915, 6919830, 13839661, 27679322, 55358643, 110717287, 221434573, 442869146, 885738293, 1771476586, 3542953171 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Partial sums give A019300, while partial sums mod 2 = the Thue-Morse sequence, A010060. a(n) mod 2 = A035263: 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1,... LINKS FORMULA a(n+1) = 2*a(n) +0 or +/-1. - Robert G. Wilson v, Sep 27 2003 a(n+1) = 2*a(n) + A029883(n) . - Philippe Deléham, Mar 21 2004 MATHEMATICA tm = Table[ If[ OddQ[ Count[ IntegerDigits[n, 2], 1]], 1, 0], {n, 0, 35}]; Table[ FromDigits[ Take[ tm, n + 1], 2] - FromDigits[ Take[ tm, n], 2], {n, 1, 33}] (from Robert G. Wilson v) CROSSREFS Cf. A019300, A010060, A035263. Sequence in context: A213967 A128695 A024504 * A048573 A221834 A006946 Adjacent sequences:  A088169 A088170 A088171 * A088173 A088174 A088175 KEYWORD nonn AUTHOR Gary W. Adamson, Sep 21 2003 EXTENSIONS More terms from Robert G. Wilson v, Sep 27 2003 STATUS approved

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Last modified May 19 02:47 EDT 2013. Contains 225428 sequences.