login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A222222 In the number n, replace all (decimal) digits '1' with '5' and vice versa. 1
0, 5, 2, 3, 4, 1, 6, 7, 8, 9, 50, 55, 52, 53, 54, 51, 56, 57, 58, 59, 20, 25, 22, 23, 24, 21, 26, 27, 28, 29, 30, 35, 32, 33, 34, 31, 36, 37, 38, 39, 40, 45, 42, 43, 44, 41, 46, 47, 48, 49, 10, 15, 12, 13, 14, 11, 16, 17, 18, 19, 60, 65, 62, 63, 64, 61, 66, 67, 68, 69, 70, 75, 72, 73, 74, 71 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The map which is applied to primes in A171024.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..999

FORMULA

Recurrence: a(10*n+i) = 10*a(n)+g(i) for 0 <= i <= 9, where

g(x) = -13/10080*x^9 +43/840*x^8 -611/720*x^7 +457/60*x^6 -57739/1440*x^5 +5007/40*x^4 -62231/280*x^3 +13941/70*x^2 -319/5*x. - Robert Israel, May 13 2014

MAPLE

a:= proc(n) local m, d; d:=irem(n, 10, 'm');

     `if`(n=0, 0, parse(cat(a(m), `if`(d in [1, 5], 6-d, d))))

    end:

seq(a(n), n=0..99);  # Alois P. Heinz, Mar 02 2013

MATHEMATICA

a[n_]:= IntegerDigits[n]/.{1->5, 5->1} // FromDigits; Table[a[n], {n, 0, 80}] (* Vincenzo Librandi, Jul 30 2013 *)

PROG

(PARI) A222222(n, d=[0, 5, 2, 3, 4, 1, 6, 7, 8, 9])=sum(i=1, #n=digits(n), d[n[i]+1]*10^(#n-i)) \\ gives correct value for n=0 iff d[1]=0, since digits(0)=[] in PARI (v.2.6)

(Haskell)

a222222 = foldl f 0 . map (read . return) . show :: Integer -> Integer

          where f v d = 10 * v + if d == 1 || d == 5 then 6 - d else d

-- Reinhard Zumkeller, Jan 29 2014

CROSSREFS

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

Sequence in context: A069483 A011226 A019812 * A071544 A031285 A307603

Adjacent sequences:  A222219 A222220 A222221 * A222223 A222224 A222225

KEYWORD

nonn,base,easy,look

AUTHOR

M. F. Hasler, Feb 12 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 9 14:04 EDT 2020. Contains 333353 sequences. (Running on oeis4.)