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A045704 Numbers of the form F(i)^2 + F(j)^3, where F() are Fibonacci numbers. 1
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 (list; graph; refs; listen; history; text; internal format)
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 * A169612 A084581 A121996

Adjacent sequences:  A045701 A045702 A045703 * A045705 A045706 A045707

KEYWORD

nonn,easy

AUTHOR

Felice Russo

STATUS

approved

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Last modified March 30 22:55 EDT 2020. Contains 333132 sequences. (Running on oeis4.)