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A354626
Numbers that can't be written as the sum of a Fibonacci number and the square of a Fibonacci number.
0
15, 16, 18, 19, 20, 23, 24, 29, 31, 32, 36, 37, 39, 40, 41, 42, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 57, 58, 60, 61, 62, 63, 68, 70, 71, 73, 74, 75, 76, 78, 79, 81, 82, 83, 84, 86, 87, 88, 91, 92, 94, 95, 96, 97, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115
OFFSET
1,1
FORMULA
Numbers k such that the coefficient of x^k in the product (Sum_{i>=0} x^Fibonacci(i)) * (Sum_{j>=0} x^(Fibonacci(j)^2)) is 0.
EXAMPLE
16 is a term since there does not exist any pair of integers i,j >= 0 such that Fibonacci(i) + Fibonacci(j)^2 = 16.
CROSSREFS
KEYWORD
nonn
AUTHOR
Angad Singh, Jul 09 2022
STATUS
approved