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A022549 Sum of a square and a nonnegative cube. 17

%I #17 Aug 24 2020 00:49:34

%S 0,1,2,4,5,8,9,10,12,16,17,24,25,26,27,28,31,33,36,37,43,44,49,50,52,

%T 57,63,64,65,68,72,73,76,80,81,82,89,91,100,101,108,113,121,122,125,

%U 126,127,128,129,134,141,144,145

%N Sum of a square and a nonnegative cube.

%C It appears that there are no modular constraints on this sequence; i.e., every residue class of every integer has representatives here. - _Franklin T. Adams-Watters_, Dec 03 2009

%C A045634(a(n)) > 0. - _Reinhard Zumkeller_, Jul 17 2010

%H R. Zumkeller, <a href="/A022549/b022549.txt">Table of n, a(n) for n = 1..10000</a> - _Reinhard Zumkeller_, Jul 17 2010

%t q=30; imax=q^2; Select[Union[Flatten[Table[x^2+y^3, {y,0,q^(2/3)}, {x,0,q}]]], #<=imax&] (* _Vladimir Joseph Stephan Orlovsky_, Apr 20 2011 *)

%o (PARI) is(n)=for(k=0,sqrtnint(n,3), if(issquare(n-k^3), return(1))); 0 \\ _Charles R Greathouse IV_, Aug 24 2020

%o (PARI) list(lim)=my(v=List(),t); for(k=0,sqrtnint(lim\=1,3), t=k^3; for(n=0,sqrtint(lim-t), listput(v,t+n^2))); Set(v) \\ _Charles R Greathouse IV_, Aug 24 2020

%Y Complement of A022550; A002760 and A179509 are subsequences.

%Y Cf. A055394, A045634, A055393, A123291, A169618, A123364, A111925.

%K nonn,easy

%O 1,3

%A _N. J. A. Sloane_.

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Last modified April 24 06:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)