login
A344977
Numbers k for which A011772(k) exceeds A344878(k).
2
14, 15, 30, 33, 35, 38, 42, 45, 51, 56, 62, 63, 65, 69, 70, 84, 85, 86, 87, 88, 90, 91, 99, 102, 104, 105, 114, 115, 116, 117, 123, 126, 130, 133, 134, 135, 141, 143, 145, 152, 153, 154, 158, 159, 161, 165, 168, 170, 172, 174, 175, 177, 180, 182, 185, 186, 195, 200, 204, 206, 210, 213, 215, 217, 221, 225, 234, 235
OFFSET
1,1
FORMULA
{k such that A344976(k) < 0}.
PROG
(PARI)
A011772(n) = { if(n==1, return(1)); my(f=factor(if(n%2, n, 2*n)), step=vecmax(vector(#f~, i, f[i, 1]^f[i, 2]))); forstep(m=step, 2*n, step, if(m*(m-1)/2%n==0, return(m-1)); if(m*(m+1)/2%n==0, return(m))); }; \\ From A011772
A344878(n) = if(1==n, n, my(f=factor(n)~); lcm(vector(#f, i, (f[1, i]^(f[2, i]+(2==f[1, i]))-1))));
isA344977(n) = (A011772(n)>A344878(n));
CROSSREFS
Positions of negative terms in A344976.
Cf. A344595 (subsequence).
Sequence in context: A041394 A041392 A042631 * A216679 A216680 A332736
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 04 2021
STATUS
approved