A364964 Numbers k such that k is a multiple of A243071(k).

2, 3, 4, 6, 8, 12, 16, 24, 27, 32, 48, 54, 64, 96, 108, 128, 192, 216, 256, 315, 384, 432, 512, 630, 768, 864, 1024, 1260, 1536, 1728, 2048, 2520, 3003, 3072, 3456, 4096, 5040, 6006, 6144, 6912, 8192, 10080, 12012, 12288, 13824, 16384, 20160, 24024, 24576, 27648, 32768, 40320, 42757, 48048, 49152, 55296, 65536

Offset

1,1

Comments

For k > 1, if k is a term, then also 2*k is present in this sequence, and vice versa.

Links

Table of n, a(n) for n=1..57.

Prog

(PARI)
A243071(n) = if(n<=2, n-1, my(f=factor(n), p, p2=1, res=0); for(i=1, #f~, p = 1 << (primepi(f[i, 1]) - 1); res += (p*p2*(2^(f[i, 2]) - 1)); p2 <<= f[i, 2]); ((3<<#binary(res\2))-res-1)); \\ (Combining programs given in A156552 and A054429)
isA364964(n) = ((n>1)&&!(n%A243071(n)));

Crossrefs

Sequence A163511(A364494(n)), for n>=0, sorted into ascending order.

Cf. A007283 (subsequence), A364965 (odd terms).

Cf. also A364497, A364550.

Sequence in context: A241344 A064428 A052810 * A320315 A364956 A164090

Adjacent sequences: A364961 A364962 A364963 * A364965 A364966 A364967

Keyword

nonn

Author

Antti Karttunen, Sep 01 2023

Status

approved