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A247099 Numbers which are the sum or difference of two fifth powers. 1
0, 1, 2, 31, 32, 33, 64, 211, 242, 243, 244, 275, 486, 781, 992, 1023, 1024, 1025, 1056, 1267, 2048, 2101, 2882, 3093, 3124, 3125, 3126, 3157, 3368, 4149, 4651, 6250, 6752, 7533, 7744, 7775, 7776, 7777, 7808, 8019, 8800, 9031, 10901, 13682, 15552, 15783, 15961 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

FORMULA

a(n) << n^(5/2). Can this be improved?

EXAMPLE

31 = 2^5 - 1^5, 32 = 2^5 + 0^5, 33 = 2^5 + 1^5.

MATHEMATICA

Union[Flatten[{Total[#], Abs[#[[2]]-#[[1]]]}&/@Tuples[Range[0, 10]^5, 2]]] (* Harvey P. Dale, Mar 30 2015 *)

PROG

(PARI) T=thueinit('z^5+1);

is(n)=n==0 || #thue(T, n)>0

CROSSREFS

Cf. A004842, A004831.

Sequence in context: A117816 A237263 A099189 * A053234 A020896 A042153

Adjacent sequences:  A247096 A247097 A247098 * A247100 A247101 A247102

KEYWORD

nonn

AUTHOR

Charles R Greathouse IV, Nov 29 2014

STATUS

approved

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Last modified October 20 21:49 EDT 2018. Contains 316404 sequences. (Running on oeis4.)