A045704 Numbers of the form F(i)^2 + F(j)^3, where F() are Fibonacci numbers.

0, 1, 2, 4, 5, 8, 9, 10, 12, 17, 25, 26, 27, 28, 31, 33, 36, 52, 64, 65, 72, 91, 125, 126, 129, 134, 150, 169, 170, 177, 189, 196, 294, 441, 442, 449, 468, 512, 513, 516, 521, 537, 566, 576, 681, 953, 1156, 1157, 1164, 1183, 1281, 1668, 2197, 2198, 2201, 2206

Offset

1,3

Links

Table of n, a(n) for n=1..56.

Formula

For example, a(6)=9 because 9=2^3+1^2 or 9=0^3+3^2.

Mathematica

f = Table[ Fibonacci[ i ], {i, 0, 25} ]; Take[ Union[ Flatten[ Table[ f[ [ i ] ]^2 + f[ [ j ] ]^3, {i, 1, 26}, {j, 1, 26} ] ] ], 56 ]
Take[Flatten[{#[[1]]^2+#[[2]]^3, #[[1]]^3+#[[2]]^2}&/@Tuples[ Fibonacci[ Range[ 0, 10]], 2]]//Union, 60] (* Harvey P. Dale, Sep 06 2016 *)

Crossrefs

Cf. A000045.

Sequence in context: A087815 A248893 A022549 * A368796 A351723 A169612

Adjacent sequences: A045701 A045702 A045703 * A045705 A045706 A045707

Keyword

nonn,easy

Author

Felice Russo

Status

approved