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A294393 a(n) is the smallest number whose deficiency or abundance is equal to 2*n (or 0 if such a number does not exist), minus the n-th odd number. 2

%I #33 Nov 02 2017 05:33:22

%S 5,0,0,0,13,0,0,12,0,0,25,0,87,31,0,0,217,22,0,16,0,0,49,0,11,55,0,32,

%T 27,0,0,22,43,0,73,0,0,637,81,0,75,0,320,28,0,50,313,24,0,103,0,0,109,

%U 0,0,34,0,62,301,24,-1,120,67,0,133,0,128,139,0,0,433,42,23,151,0,0,219,82,0,28,119

%N a(n) is the smallest number whose deficiency or abundance is equal to 2*n (or 0 if such a number does not exist), minus the n-th odd number.

%C Note that a(60) = -1.

%F a(n) = A294386(n) - A005408(n).

%e --------------------------------------

%e n A294386(n) - A005408(n) = a(n)

%e --------------------------------------

%e 0 6 1 5

%e 1 3 3 0

%e 2 5 5 0

%e 3 7 7 0

%e 4 22 9 13

%e ...

%o (PARI) f(n) = abs(2*n-sigma(n));

%o a(n) = my(k=1); while(f(k) != 2*n, k++); k - (2*n+1); \\ _Michel Marcus_, Oct 31 2017

%Y Cf. A000203, A000396, A005100, A005101, A033879, A033880, A234285, A234286, A294347, A294386.

%K sign

%O 0,1

%A _Omar E. Pol_, Oct 30 2017

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Last modified September 7 01:23 EDT 2024. Contains 375728 sequences. (Running on oeis4.)