[seqfan] Idea for sequence

[Carlos Eduardo Olivieri]

Dear SeqFans

a_1 = k
a_2 = q

for n > 2, a_n = greatest number j <= n^2 of the form gpf (a_(n-1)) * x + spf (a_(n-2))

gpf: greatest prime factor
spf: smallest prime factor

supposing k=2, q=3

a_3 = greatest number <= 9  of the form 3x + 2 ==> 8
a_4 = greatest number <= 16 of the form 2x + 3 ==> 15
a_5 = greatest number <= 25 of the form 5x + 2 ==> 22
a_6 = greatest number <= 36 of the form 11x + 3 ==> 36
a_7 = greatest number <= 49 of the form 3x + 2 ==> 47

2, 3, 8, 15, 22, 36, 47, ...

Best regards,
Carlos