A222212 In the number n, replace all (decimal) digits '0' with '3' and vice versa.

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

Offset: 0

Author

M. F. Hasler, Feb 12 2013

Keywords

• nonn
• base
• easy

Comments

The map which is applied to primes in A171016.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Crossrefs

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

Programs

Mathematica

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

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.

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