A277602 - OEIS

%I #28 Nov 19 2016 02:58:03

%S 26,27,50,65,66,82,83,84,85,86,87,88,101,102,103,104,122,123,124,125,

%T 126,127,128,145,146,147,148,149,150,151,152,153,154,170,171,172,173,

%U 174,175,197,198,199,200,226,227,228,229,230,231,232,233,234,235,236

%N List of indices n such that A092488(n) < A068527(n).

%C No perfect squares occur in this sequence.

%C From _David A. Corneth_, Oct 26 2016: (Start)

%C A092488(n) <= A068527(n) for all n.

%C Numbers in this sequence are numbers of the form k^2 + m where m is fairly small compared to k^2 and less than 2k + 1. For m < 2k + 1, if k^2 + m isn't in the sequence then k^2 + m + 1 isn't either. Conjecture: 1 <= m <= t for some t < 2k+1. (End)

%H Peter Kagey, <a href="/A277602/b277602.txt">Table of n, a(n) for n = 1..5000</a>

%e A092488(26) = 9 != 10 = A068527(26).

%Y Cf. A068527, A092488.

%K nonn

%O 1,1

%A _Peter Kagey_, Oct 22 2016

%E Definition changed by _David A. Corneth_, Oct 26 2016