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A257999 Numbers of the form, 2^i*3^j, i+j odd. 3

%I #9 Feb 18 2021 02:36:28

%S 2,3,8,12,18,27,32,48,72,108,128,162,192,243,288,432,512,648,768,972,

%T 1152,1458,1728,2048,2187,2592,3072,3888,4608,5832,6912,8192,8748,

%U 10368,12288,13122,15552,18432,19683,23328,27648,32768,34992,41472,49152,52488

%N Numbers of the form, 2^i*3^j, i+j odd.

%H Reinhard Zumkeller, <a href="/A257999/b257999.txt">Table of n, a(n) for n = 1..10000</a>

%F A069352(a(n)) mod 2 = 1.

%F Sum_{n>=1} 1/a(n) = 5/4. - _Amiram Eldar_, Feb 18 2021

%t max = 53000; Reap[Do[k = 2^i*3^j; If[k <= max && OddQ[i + j], Sow[k]], {i, 0, Log[2, max] // Ceiling}, {j, 0, Log[3, max] // Ceiling}]][[2, 1]] // Union (* _Amiram Eldar_, Feb 18 2021 after _Jean-François Alcover_ at A036667 *)

%o (Haskell)

%o a257999 n = a257999_list !! (n-1)

%o a257999_list = filter (odd . flip mod 2 . a001222) a003586_list

%Y Complement of A036667 with respect to A003586.

%Y Intersection of A026424 and A003586.

%Y Cf. A069352, A022328, A022329.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, May 16 2015

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Last modified May 28 21:13 EDT 2024. Contains 372920 sequences. (Running on oeis4.)