cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A178971 Indices of primes that are the sum of two Fibonacci numbers.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 24, 25, 35, 37, 46, 51, 53, 75, 98, 112, 115, 172, 251, 271, 329, 500, 1158, 1330, 1430, 2034, 3121, 4795, 4802, 4816, 5185, 7407, 17690, 18236, 19140, 42613, 46126, 66325, 161209, 217506, 252191, 966512, 997515
Offset: 1

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Author

Carmine Suriano, Jan 12 2011

Keywords

Comments

The corresponding primes are in A178576.

Examples

			prime(15) = 47 can be expressed as 13+34 = Fibonacci(7)+Fibonacci(9), therefore 15 is in the sequence.

Crossrefs

Cf. A000040, A000045, A178576.

A178991 Primes that can be expressed as the sum of a Fibonacci number and the square of a Fibonacci number.

Original entry on oeis.org

2, 3, 5, 7, 11, 17, 43, 59, 67, 313, 443, 449, 619, 991, 1051, 1601, 2143, 2593, 2609, 2753, 3169, 6829, 20749, 24917, 28661, 38447, 49393, 54323, 56873, 75029, 372121, 974177, 1346273, 1346333, 1718369, 1806209, 2178313, 2178373, 3524603, 3525019, 6683821
Offset: 1

Views

Author

Carmine Suriano, Jan 12 2011

Keywords

Comments

Any term is Fib(n)+Fib(m)*Fib(m).

Examples

			a(10) = 313 = 144+169 = Fib(12)+Fib(7)^2.

Crossrefs

Cf. A000040, A000045, A178576.

Programs

  • Mathematica
    f=Fibonacci[Range[35]]; Select[Union[Flatten[Outer[Plus, f, f^2]]], # <= f[[-1]] + 1 && PrimeQ[#] &]

Extensions

Corrected by T. D. Noe, Jan 13 2011

A179429 Primes that are sum of three positive Fibonacci numbers.

Original entry on oeis.org

3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 59, 61, 71, 73, 79, 89, 97, 103, 107, 113, 131, 149, 151, 157, 167, 173, 179, 181, 191, 199, 233, 239, 241, 251, 257, 269, 293, 379, 383, 401, 419, 433, 467, 479, 487, 521, 523, 613, 617, 619
Offset: 1

Views

Author

Carmine Suriano, Jan 12 2011

Keywords

Examples

			a(6)=17=1+3+13=Fib(1)+Fib(4)+Fib(7)

Crossrefs

A000040, A178576, A178991

Programs

  • Mathematica
    f=Fibonacci[Range[15]]; Select[Union[Flatten[Outer[Plus, f, f, f]]], # <= f[[-1]]+2 && PrimeQ[#] &]
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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