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Search: id:A114699
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A114699 A000799(n) - A064355(n). +0
1
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 3, 0, 0, 6, 0, 0, 10, 1, 0, 18, 0, 0, 36, 0, 0, 62, 0, 4, 113, 0, 0, 210, 6, 0, 391, 0, 0, 739, 0, 0, 1365, 2, 20, 2570, 0, 0, 4854, 37, 4, 9198, 0, 0, 17544, 0, 0, 33296, 0, 126, 63550, 0, 0, 121574, 248, 0, 233016, 0, 0, 447828, 0 (list; graph; listen)
OFFSET

0,15

COMMENT

There was a suggestion that these were the same sequence, but they are not.

FORMULA

A000799(n) = A064355(n) just for: (1) n a power of 2. (2) n = p * 2^k, where p is a prime with p > 2^{2^k - k}. (Including the case k=0. ) (3) n = 9. -Franklin T. Adams-Watters, Feb 14 2006

MATHEMATICA

f[n_] := Block[{d = Select[Divisors@n, OddQ@# &]}, Floor[2^n/n] - Plus @@ (2^(n/d)*MoebiusMu@d)/n]; Array[f, 76] (* Robert G. Wilson v *)

CROSSREFS

Cf. A000799, A064355.

Sequence in context: A049597 A035377 A136274 this_sequence A024159 A029302 A143517

Adjacent sequences: A114696 A114697 A114698 this_sequence A114700 A114701 A114702

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Feb 20 2006

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Feb 20 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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