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A185549 a(n) = ceiling(n^(3/2)); complement of A185550. 4

%I #16 Jul 04 2023 15:45:20

%S 0,1,3,6,8,12,15,19,23,27,32,37,42,47,53,59,64,71,77,83,90,97,104,111,

%T 118,125,133,141,149,157,165,173,182,190,199,208,216,226,235,244,253,

%U 263,273,282,292,302,312,323,333,343,354,365,375,386,397,408,420,431,442,454,465,477,489

%N a(n) = ceiling(n^(3/2)); complement of A185550.

%H Reinhard Zumkeller, <a href="/A185549/b185549.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = ceiling(n^(3/2)).

%t f[n_]=Ceiling[n^(3/2)];

%t t1=Table[f[n],{n,1,90}];t1 (* A185549 *)

%t t2=Complement[Range[150], Table[f[n],{n,1,80}]];t2 (* A185550 *)

%t Ceiling[Sqrt[Range[0,70]^3]] (* _Harvey P. Dale_, Jul 04 2023 *)

%o (Haskell)

%o a185549 = ceiling . (** (3 / 2)) . fromIntegral

%o -- _Reinhard Zumkeller_, Jul 24 2015

%o (PARI) for(n=0,50, print1(ceil(n^(3/2)), ", ")) \\ _G. C. Greubel_, Jul 08 2017

%Y Cf. A000093, A185550.

%Y Cf. A144968 (first differences).

%K nonn

%O 0,3

%A _Clark Kimberling_, Jan 30 2011

%E Initial a(0)=0 prepended and offset adjusted by _Reinhard Zumkeller_, Jul 24 2015

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Last modified May 20 17:58 EDT 2024. Contains 372720 sequences. (Running on oeis4.)