Problem #WSP-000112

Problems Algebra Sequences Fibonacci

Problem

Among the first 20 Fibonacci numbers: F0=0,F1=1,F2=1,F3=2,F4=3,...,F20=6765 find all numbers whose digit-sum is equal to their index. For example, F1=1 fits the description, but F20=6765 does not, since 6+7+6+520.