A107259 -id:A107259 - cp's OEIS frontend

A107258 Numbers not representable as Fibonacci(i) + triangular(j), i,j>=0.

25, 32, 43, 51, 52, 54, 59, 64, 72, 73, 75, 77, 82, 84, 85, 88, 97, 98, 101, 102, 103, 109, 111, 114, 115, 116, 119, 124, 127, 129, 130, 131, 132, 135, 140, 142, 143, 148, 151, 152, 162, 163, 164, 168, 169, 177, 178, 181, 182, 183, 185, 186, 188, 196, 197

Offset: 1

Ralf Stephan, May 15 2005

nonn

A107259(a(n)) = 0.

With[{nn=200},Select[Complement[Range[nn],Union[Flatten[Outer[Plus, Join[{0},Fibonacci[Range[12]]],Accumulate[Range[19]]]]]],#Harvey P. Dale, Jul 15 2012 *)

A181325 Primes that can be written as the sum of a Fibonacci number (A000045) and a triangular number (A000217).

Original entry on oeis.org

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 61, 67, 71, 79, 83, 89, 107, 113, 137, 139, 149, 157, 167, 173, 179, 191, 193, 199, 211, 223, 233, 239, 269, 277, 281, 311, 313, 331, 353, 359, 379, 383, 389, 397, 409, 419, 433, 443, 461, 467, 499, 509

Offset: 0

Jonathan D. B. Hodgson, Oct 13 2010

nonn

			29 is in the sequence since 29 is prime and 29 = 21 + 8 = T(6) + F(7); 43 is not in the sequence, despite being prime, since there exist no m and n such that 43 = T(m) + F(n).

Cf. A000040, A000045, A000217, A107259.

cp's OEIS Frontend

A107258 Numbers not representable as Fibonacci(i) + triangular(j), i,j>=0.

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A181325 Primes that can be written as the sum of a Fibonacci number (A000045) and a triangular number (A000217).

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