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Areas for which ApSimon's diagonal point triangle problem has no solution.
1

%I #16 May 23 2019 08:09:12

%S 1,2,3,4,8,9,13,17,23,31,37,43,46,47,51,53,59,61,67,73,79,83,92,93,94,

%T 97,101,103,106,107,111,113,118,127,129,137,139,149,151,157,159,163,

%U 166,167,173,177,179,188,191,193,197,199,201,202,211

%N Areas for which ApSimon's diagonal point triangle problem has no solution.

%C 137 is missing from the list of Bremner on page 165 of the Guy paper. However, 137 is definitely a member since 137 is prime and not of the form m^2+m-1. - _Sean A. Irvine_, May 23 2019

%H R. K. Guy, <a href="https://www.jstor.org/stable/2974987">ApSimon's diagonal point triangle problem</a>, Amer. Math. Monthly, 104 (1997), 163-167.

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a022/A022999.java">Java program</a> (github).

%K nonn

%O 1,2

%A _N. J. A. Sloane_.

%E Missing 137 inserted and more terms from _Sean A. Irvine_, May 23 2019