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Numbers whose set of base 10 digits is {0,9}.
10

%I #16 Mar 04 2014 00:07:28

%S 0,9,90,99,900,909,990,999,9000,9009,9090,9099,9900,9909,9990,9999,

%T 90000,90009,90090,90099,90900,90909,90990,90999,99000,99009,99090,

%U 99099,99900,99909,99990,99999,900000,900009,900090,900099,900900

%N Numbers whose set of base 10 digits is {0,9}.

%C n such that there exists a permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a power of 10 for every i.

%H Reinhard Zumkeller, <a href="/A097256/b097256.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = 9*A007088(n).

%F a(2n) = 10*a(n), a(2n+1) = a(2n)+9.

%p A097256:=n->(9/2) * add((1-(-1)^floor(n/2^i))*10^i, i=0..n); seq(A097256(n), n=0..30); # _Wesley Ivan Hurt_, Feb 11 2014

%t Table[(9/2) Sum[(1 - (-1)^Floor[n/2^i]) 10^i, {i, 0, n}], {n, 0, 30}] (* _Wesley Ivan Hurt_, Feb 11 2014 *)

%o (Haskell)

%o a097256 n = a097256_list !! n

%o a097256_list = map (* 9) a007088_list

%o -- _Reinhard Zumkeller_, Jan 10 2012

%Y Cf. A001196, A005823, A097251-A097262.

%Y Cf. A078248, A169965, A169966, A169967, A169964, A204093, A204094, A204095.

%K nonn,base

%O 0,2

%A _Ray Chandler_, Aug 03 2004