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A072428 Numbers n for which there are exactly four k such that n = k + reverse(k). 1

%I #9 Jul 12 2019 20:18:29

%S 44,165,404,424,444,464,484,504,524,544,564,584,1331,1515,1535,1555,

%T 1575,1595,1615,1635,1655,1675,1695,2112,2651,3872,4004,5984,13031,

%U 13231,13431,13631,13831,14031,14231,14431,14631,14831,15015,16995

%N Numbers n for which there are exactly four k such that n = k + reverse(k).

%C Subsequence of A067030. First term is A072041(4).

%C Includes 4*(10^k+1) for k>=1. - _Robert Israel_, Jul 12 2019

%H Robert Israel, <a href="/A072428/b072428.txt">Table of n, a(n) for n = 1..441</a>

%H <a href="/index/Res#RAA">Index entries for sequences related to Reverse and Add!</a>

%e 44 = k + reverse(k) for k = 13, 22, 31, 40; 1331 = k + reverse(k) for k = 1030, 1120, 1210, 1300.

%p N:= 10^5:

%p revdigs:= proc(n) local L, i;

%p L:= convert(n, base, 10);

%p add(L[-i]*10^(i-1), i=1..nops(L))

%p end proc:

%p V:= Vector(N):

%p for x from 1 to N do

%p v:= x + revdigs(x);

%p if v <= N then V[v]:= V[v]+1 fi;

%p od:

%p select(t -> V[t]=4, [$1..N]); # Robert Israel, Jul 12 2019

%o (ARIBAS) var n,k,c,i,rev: integer; st,nst: string; end; m := 4; for n := 0 to 20000 do k := n div 2; c := 0; while k <= n and c < m + 1 do st := itoa(k); nst := ""; for i := 0 to length(st) - 1 do nst := concat(st[i],nst); end; rev := atoi(nst); if n = k + rev then inc(c); if k mod 10 <> 0 and k <> rev then inc(c); end; end; inc(k); end; if c = m then write(n,","); end; end;

%Y Cf. A067030, A072041.

%K base,nonn

%O 1,1

%A _Klaus Brockhaus_, Jun 17 2002

%E Offset changed by _Robert Israel_, Jul 12 2019

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)