A344028 - OEIS

%I #12 May 23 2021 03:21:18

%S 0,1,1,2,1,5,3,4,1,7,8,10,5,15,9,8,1,9,10,14,12,31,24,20,7,35,40,30,

%T 25,45,27,16,1,13,14,18,16,41,30,28,18,59,71,62,60,93,72,40,11,63,70,

%U 70,84,155,120,60,49,175,200,90,125,135,81,32,1,15,16,26,18,61,42,36,20,87,103,82,80,123,90,56,24,113,131

%N a(n) = A069359(A005940(1+n)).

%C Coincides with A344026 on Fibbinary numbers, A003714.

%H Antti Karttunen, <a href="/A344028/b344028.txt">Table of n, a(n) for n = 0..16384</a>

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%F a(n) = A069359(A005940(1+n)).

%o (PARI)

%o A069359(n) = (n*sumdiv(n, d, isprime(d)/d)); \\ From A069359

%o A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); (t); };

%o A344028(n) = A069359(A005940(1+n));

%Y Cf. A000079 (positions of ones), A003714, A005940, A069359, A344026, A344182.

%K nonn,look

%O 0,4

%A _Antti Karttunen_, May 11 2021