A354626 Numbers that can't be written as the sum of a Fibonacci number and the square of a Fibonacci number.

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

Links

Table of n, a(n) for n=1..70.

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

Cf. A000045, A007598, A059727.

Sequence in context: A090461 A138598 A281879 * A114841 A031168 A108856

Adjacent sequences: A354623 A354624 A354625 * A354627 A354628 A354629

Keyword

nonn

Author

Angad Singh, Jul 09 2022

Status

approved