0,3

Numbers n such that n divides Fibonacci(n) are listed in A023172(n) = {1,5,12,24,25,36,48,60,72,96,108,120,125,...}. All powers of 5 belong to A023172(n). 5^n divides Fibonacci(5^n). Mod[ a(n), 1000 ] = 1. a(n+1)/a(n) = {1, 3001, 158414167964045700001, 62351961552434956321060201440347372028390478647963811251289490034177804212636326088548682319305439375001, ...}.

a(n) = Fibonacci[ 5^n ] / 5^n.

Table[ Fibonacci[ 5^n ] / 5^n, {n, 0, 4} ]

Cf. A023172, A121169, A121170, A058635, A045529.

Sequence in context: A031130 A106766 A119892 this_sequence A094336 A100896 A140915

Adjacent sequences: A128932 A128933 A128934 this_sequence A128936 A128937 A128938

nonn

Alexander Adamchuk (alex(AT)kolmogorov.com), May 11 2007