login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A328700 Numbers k dividing nonzero terms in A003095. 1

%I #7 Oct 27 2019 14:29:14

%S 1,2,5,10,13,26,41,65,82,130,137,149,205,229,274,293,298,397,410,458,

%T 509,533,586,661,677,685,709,745,761,794,809,877,881,1018,1066,1145,

%U 1217,1249,1277,1322,1354,1370,1418,1465,1490,1522,1601,1618,1754,1762,1781,1937,1985,2053,2290

%N Numbers k dividing nonzero terms in A003095.

%C k is a term if and only if A328699(k) = 0, in which case all the indices m such that k divides A003095(m) are m = t*A248218(k), t = 0, 1, 2, 3, ...

%e 41 divides A003095(7) = 210066388901, so 41 is in this sequence. In addition, 41 divides A003095(m) if and only if 7 divides m.

%e 29 is not a term: {A003095(n) mod 29} = {0, 1, 2, 5, 26, 10, 14, 23, 8, 7, 21, 7, 21, 7, 21, ...}, so 29 does not divides A003095(m) for any m > 0.

%o (PARI) v(n) = my(v=[0],k,flag=1); for(i=2, n+1, k=(v[#v]^2+1)%n; v=concat(v, k); for(j=1, i-1, if(v[j]==k, flag=0)); if(flag==0, break())); v

%o a(n) = !(v(n)[#v(n)])

%Y Cf. A003095, A328699, A248218.

%Y The primes in this sequence are given by A247981.

%K nonn

%O 1,2

%A _Jianing Song_, Oct 26 2019

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)