A166376 Triangle in which n-th row (n>1) gives prime factors of n^2 + 1 with repetition.
2, 5, 2, 5, 17, 2, 13, 37, 2, 5, 5, 5, 13, 2, 41, 101, 2, 61, 5, 29, 2, 5, 17, 197, 2, 113, 257, 2, 5, 29, 5, 5, 13, 2, 181, 401, 2, 13, 17, 5, 97, 2, 5, 53, 577, 2, 313, 677, 2, 5, 73, 5, 157, 2, 421, 17, 53, 2, 13, 37, 5, 5, 41
Offset: 1
Examples
Since 13^2+1 = 170 = 2*5*17, the three terms 2, 5, 17 appear in the sequence.
Programs
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PARI
row(n)={m=n^2+1;while(m!=1,p=factor(m)[1,1];print(p);m=m/p)}