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A239244 Let y be the sum of the numbers x coprime to n, with x<=n. Sequence lists n such that digits of y end in 'n'. 1

%I #11 Mar 14 2014 07:11:11

%S 3,4,6,80,920,37568,56352,7148453888,7169453056,7286124544,7325797376,

%T 7595232256,8935567360,9107655680,13403351040

%N Let y be the sum of the numbers x coprime to n, with x<=n. Sequence lists n such that digits of y end in 'n'.

%C n*phi(n)/2 is of the form 'm' U 'n'.

%e phi(920) = 352; 902*352/2 = 161920 that is '161' U '920'.

%p with(numtheory); P:=proc(q) local a,b,n;

%p for n from 1 to q do a:=n; b:=0; while a>0 do b:=b+1; a:=trunc(a/10); od;

%p if n=((n*phi(n)/2) mod 10^b) then print(n); fi; od; end: P(10^9);

%Y Cf. A000010, A239245.

%K nonn,more,base

%O 1,1

%A _Paolo P. Lava_, Mar 13 2014

%E a(8)-a(15) from _Giovanni Resta_, Mar 14 2014

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