cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A083534 First difference sequence of A007617. Difference between consecutive values not being in the range of phi (A000010).

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%I A083534 #18 Feb 23 2025 02:40:54
%S A083534 2,2,2,2,2,1,1,2,2,2,2,2,1,1,2,2,2,1,1,2,1,1,2,2,2,2,2,1,1,2,2,2,2,2,
%T A083534 1,1,2,2,1,1,2,2,1,1,1,1,2,2,2,2,1,1,2,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,
%U A083534 1,1,2,1,1,2,1,1,1,1,2,2,2,2,1,1,2,2,2,1,1,2,1,1,2,2,1,1,1,1,2,1,1,2,2,2,2
%N A083534 First difference sequence of A007617. Difference between consecutive values not being in the range of phi (A000010).
%C A083534 a(n) is either 2 or 1 since odd numbers are in A007619.
%C A083534 If a(n) = 1 then A007619(n+1) is an even number not in the range of phi.
%H A083534 Reinhard Zumkeller, <a href="/A083534/b083534.txt">Table of n, a(n) for n = 1..10000</a>
%F A083534 a(n) = A007617(n+1) - A007617(n).
%e A083534 {11,13,14,15,17} are not in the range of phi and the corresponding differences are {2,1,1,2}.
%t A083534 t0[x_] := Table[j, {j, 1, x}]; t=Table[EulerPhi[w], {w, 1, 10000}]; u=Union[%]; c=Complement[t0[10000], u]; Delete[c-RotateRight[c], 1]
%o A083534 (Haskell)
%o A083534 a083534 n = a083534_list !! (n-1)
%o A083534 a083534_list = zipWith (-) (tail a007617_list) a007617_list
%o A083534 -- _Reinhard Zumkeller_, Nov 26 2015
%o A083534 (PARI) list(lim) = {my(k1 = 3, k2 = 3); while(k1 < lim, until(!istotient(k2), k2++); print1(k2 - k1, ", "); k1 = k2); } \\ _Amiram Eldar_, Feb 22 2025
%Y A083534 Cf. A000010, A002202, A005277, A007617, A007619, A083531, A083532, A083533, A083535, A083536.
%K A083534 nonn
%O A083534 1,1
%A A083534 _Labos Elemer_, May 20 2003