A222212 - OEIS

%I #15 Nov 02 2024 03:22:16

%S 3,1,2,0,4,5,6,7,8,9,13,11,12,10,14,15,16,17,18,19,23,21,22,20,24,25,

%T 26,27,28,29,3,1,2,0,4,5,6,7,8,9,43,41,42,40,44,45,46,47,48,49,53,51,

%U 52,50,54,55,56,57,58,59,63,61,62,60,64,65,66,67,68,69,73,71,72,70,74,75

%N In the number n, replace all (decimal) digits '0' with '3' and vice versa.

%C The map which is applied to primes in A171016.

%H Vincenzo Librandi, <a href="/A222212/b222212.txt">Table of n, a(n) for n = 0..1000</a>

%t a[n_]:= IntegerDigits[n]/.{0->3, 3->0} // FromDigits; Table[a[n], {n, 0, 80}] (* _Vincenzo Librandi_, Jul 29 2013 *)

%o (PARI) A222212(n,d=[3,1,2,0,4,5,6,7,8,9])=sum(i=1,#n=digits(n),d[n[i]+1]*10^(#n-i))+!n*d[1] \\ N.B.: PARI's digits() function returns [] for 0.

%o (PARI) a(n)=if(n, fromdigits(apply(d->if(d>3,d,[3,1,2,0][d+1]), digits(n))), 3) \\ _Charles R Greathouse IV_, Sep 27 2015

%Y Cf. A222210-A222254, A171013-A171016, A175770, A171018-A171057.

%K nonn,base,easy

%O 0,1

%A _M. F. Hasler_, Feb 12 2013