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A100921 n appears A023416(n) times (appearances equal number of 0-bits). 1

%I #8 Feb 18 2024 01:35:48

%S 0,2,4,4,5,6,8,8,8,9,9,10,10,11,12,12,13,14,16,16,16,16,17,17,17,18,

%T 18,18,19,19,20,20,20,21,21,22,22,23,24,24,24,25,25,26,26,27,28,28,29,

%U 30,32,32,32,32,32,33,33,33,33,34,34,34,34,35,35,35,36,36,36,36,37,37,37

%N n appears A023416(n) times (appearances equal number of 0-bits).

%F Sum_{n>=1} (-1)^(n+1)/a(n) = Sum_{n>=1} (-1)^(n+1)/A059009(n) = 0.395592509... . - _Amiram Eldar_, Feb 18 2024

%e The binary representation of 16 is 10000, which has four 0-bits (and one 1-bit), hence 16 appears four times in this sequence (but only once in A100922).

%t Flatten[Table[Table[n, {DigitCount[n, 2, 0]}], {n, 0, 37}]] (* _Amiram Eldar_, Feb 18 2024 *)

%Y Cf. A100922 (n's appearances equal its number of 1-bits), A030530 (n's appearances equal its total number of bits), A023416, A059009.

%K base,easy,nonn

%O 0,2

%A _Rick L. Shepherd_, Nov 21 2004

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Last modified September 2 15:43 EDT 2024. Contains 375613 sequences. (Running on oeis4.)