%I #17 Jan 04 2019 18:58:39
%S 0,1,2296,40833,22847280,395417121,219458276136,3797122504033,
%T 2107246056196960,36460001965365441,20233777167801893976,
%U 350088938217540957633,194284726332034400465040,3361553948612830233684961
%N Smaller of two consecutive star numbers (A000567) whose sum is a square.
%C The star numbers referred to here are those defined as the sum of the n-th square and four times the (n-1)st triangular number: 3n^2 - 2n.
%H Charles R Greathouse IV, <a href="/A083572/b083572.txt">Table of n, a(n) for n = 1..503</a>
%e a(2)=1 because
%e ...
%e .*.
%e ...
%e plus
%e ..*...*...*...*
%e ........*......
%e ..*...........*
%e ...*.........*.
%e ..*...........*
%e ........*......
%e ..*...*...*...*
%e is
%e ..*...*...*...*
%e ........*......
%e ..*...........*
%e ...*....*....*.
%e ..*...........*
%e ........*......
%e ..*...*...*...*
%o (PARI) list(lim)=my(x=0,y=1,v=List(),t);lim=sqrt(12*lim+4)/6+1/3;while(x<=lim,listput(v,x*(3*x-2));t=49*x+20*y+8;y=120*x+49*y+20;x=t);x=1;y=3;while(x<=lim,listput(v,x*(3*x-2));t=49*x+20*y+8;y=120*x+49*y+20;x=t);vecsort(Vec(v)) \\ _Charles R Greathouse IV_, Jul 24 2011
%K nonn
%O 1,3
%A _Jason Earls_, Jun 13 2003
%E a(10)-a(12) from _Donovan Johnson_, May 24 2009
%E Offset corrected and a(13)-a(14) from _Donovan Johnson_, Jul 24 2011