数列:A(n+1)=(A(n)^2 + c^2)/A(n-1)=(c^2 +2)*A(n)-A(n-1);其中: A(0)=1,A(1)=1; n,c是正整数.
比如:
c=1时:A(n+1) = (A(n)^2 +1)/A(n-1)=3A(n)-A(n-1). 即数列http://oeis.org/A001519:1, 1, 2, 5, 13, 34, 89, 233, 610...
c=2时:A(n+1) = (A(n)^2 +4)/A(n-1)=6A(n)-A(n-1). 即数列http://oeis.org/A001653:1, 1, 5, 29, 169, 985, 5741, 33461, 195025, 1136689...
c=3时:A(n+1) = (A(n)^2 +9)/A(n-1)=11A(n)-A(n-1).即数列:http://oeis.org/A078922:1,1, 10, 109, 1189, 12970, 141481, 1543321...
c=4时:A(n+1) = (A(n)^2 +16)/A(n-1)=18A(n)-A(n-1).即数列:http://oeis.org/A007805:1,1, 17, 305, 5473, 98209, 1762289, 31622993, 567451585
c=5时:A(n+1) = (A(n)^2 +25)/A(n-1)=27A(n)-A(n-1).即数列:http://oeis.org/A097835:1,1, 26, 701, 18901, 509626, 13741001, 370497401,..
c=6时:A(n+1) = (A(n)^2 +36)/A(n-1)=38A(n)-A(n-1).即数列:http://oeis.org/A097315:1,1, 37, 1405, 53353, 2026009, 76934989...
c=7:http://oeis.org/A097838:1, 50, 2549, 129949, 6624850...
c=8:http://oeis.org/A078988:1, 65, 4289, 283009, 18674305...
c=9:http://oeis.org/A097841:1, 82, 6805, 564733, 46866034, 3889316089...
c=10:http://oeis.org/A097727:1, 101, 10301, 1050601, 107151001, 10928351501...