A344977 Numbers k for which A011772(k) exceeds A344878(k).

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

Author

Antti Karttunen, Jun 04 2021

Keywords

• nonn

Crossrefs

Cf. A011772, A344878.

Positions of negative terms in A344976.

Cf. A344595 (subsequence).

Programs

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));

Formula

{k such that A344976(k) < 0}.