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A293665 a(0) = 1; a(n) = -Sum_{d|n} a(n-d). 1

%I #6 Oct 16 2017 17:20:51

%S 1,-1,0,-1,0,-1,1,-2,0,-2,2,-3,1,-2,2,-6,2,-3,7,-8,2,-12,12,-13,0,-3,

%T 4,-12,17,-18,19,-20,-19,-13,34,-71,54,-55,8,-67,73,-74,79,-80,-72,

%U -154,238,-239,39,-119,163,-237,97,-98,310,-402,-22,-297,336,-337,271,-272,20,-659,369,-738

%N a(0) = 1; a(n) = -Sum_{d|n} a(n-d).

%H Ilya Gutkovskiy, <a href="/A293665/a293665.pdf">Extended graphical example</a>

%F a(p) = -a(p-1) - 1, for p is a prime.

%t a[n_] := a[n] = -Sum[a[n - d], {d, Divisors[n]}]; a[0] = 1; Table[a[n], {n, 0, 65}]

%Y Cf. A067951, A281487, A281488.

%K sign

%O 0,8

%A _Ilya Gutkovskiy_, Oct 14 2017

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Last modified April 24 14:18 EDT 2024. Contains 371960 sequences. (Running on oeis4.)