A088172 - OEIS

A088172

First differences of A019300.

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

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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

Table of n, a(n) for n=1..33.

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}] (* Robert G. Wilson v *)

CROSSREFS

Cf. A019300, A010060, A035263.

Sequence in context: A024504 A256494 A344432 * 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