A335422 - OEIS

%I #7 Jun 09 2020 22:12:41

%S 2,3,5,4,7,10,9,6,11,36,21,50,25,16,15,8,13,154,225,486,55,84,147,98,

%T 49,90,81,28,35,30,27,12,17,2500,429,8918,1225,1080,9375,840,91,2662,

%U 495,3750,605,220,363,1250,121,88,525,240,625,490,99,126,77,64,105,72,125,22,45,18,19,26950,21609,43350,1105,186340,67881

%N a(n) = A005940(1+A163511(n)).

%C Permutation of natural numbers larger than one.

%H Antti Karttunen, <a href="/A335422/b335422.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) = A005940(1+A163511(n)).

%F For all n >= 0, a(2^n) = A000040(2+n).

%F A001222(a(n)) = A335420(n).

%o (PARI)

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

%o A054429(n) = ((3<<#binary(n\2))-n-1); \\ From A054429

%o A163511(n) = if(!n,1,A005940(1+A054429(n)))

%o A335422(n) = A005940(1+A163511(n));

%Y Cf. A001222, A005940, A054429, A163511, A335420, A335421.

%K nonn

%O 0,1

%A _Antti Karttunen_, Jun 09 2020