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A353707 n appears in A121216 a(n) steps earlier than expected. 3

%I #19 May 06 2022 12:51:48

%S 0,0,0,-1,1,0,0,-1,-1,-2,3,-1,2,-2,-2,-3,3,-2,4,-3,0,-2,5,-4,3,-1,2,

%T -3,3,-6,2,0,0,-1,5,-4,3,-1,2,-3,3,-2,2,-3,-3,-4,5,-6,4,-1,2,-3,7,-4,

%U 3,-3,4,-4,3,-3,4,-4,-1,-3,5,-5,6

%N n appears in A121216 a(n) steps earlier than expected.

%C It appears that a positive number n appears in A121216 at about the n-th term; if in fact A121216(k) = n, then a(n) = n - k.

%C An equivalent definition uses the inverse to A121216: a(n) = n - A225047(n).

%H Rémy Sigrist, <a href="/A353707/b353707.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A353707/a353707.gp.txt">PARI program</a>

%e A121216(8) = 11, so 11 has appeared 3 steps early, therefore a(11) = 11 - 8 = 3.

%o (PARI) See Links section.

%Y Cf. A121216, A225047, A353706.

%K sign

%O 1,10

%A _N. J. A. Sloane_, May 05 2022

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