A328700 Numbers k dividing nonzero terms in A003095.

1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 137, 149, 205, 229, 274, 293, 298, 397, 410, 458, 509, 533, 586, 661, 677, 685, 709, 745, 761, 794, 809, 877, 881, 1018, 1066, 1145, 1217, 1249, 1277, 1322, 1354, 1370, 1418, 1465, 1490, 1522, 1601, 1618, 1754, 1762, 1781, 1937, 1985, 2053, 2290

Offset

1,2

Comments

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, ...

Links

Amiram Eldar, Table of n, a(n) for n = 1..1000

Example

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

Prog

(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;
is(n) = !(v(n)[#v(n)]);

Crossrefs

Cf. A003095, A328699, A248218.

The primes in this sequence are given by A247981.

Sequence in context: A281229 A185647 A064392 * A018296 A033316 A099194

Adjacent sequences: A328697 A328698 A328699 * A328701 A328702 A328703

Keyword

nonn

Author

Jianing Song, Oct 26 2019

Status

approved