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A257352 G.f.: (1-2*x+51*x^2)/(1-x)^3. 7

%I #12 Jun 17 2017 02:10:33

%S 1,1,51,151,301,501,751,1051,1401,1801,2251,2751,3301,3901,4551,5251,

%T 6001,6801,7651,8551,9501,10501,11551,12651,13801,15001,16251,17551,

%U 18901,20301,21751,23251,24801,26401,28051,29751,31501,33301

%N G.f.: (1-2*x+51*x^2)/(1-x)^3.

%C An example of a quadratic sequence for which the continued square root map (see A257574) produces the number 2. There are infinitely many sequences with this property - another example is A028387.

%H Popular Computing (Calabasas, CA), <a href="/A257352/a257352.pdf">The CSR Function</a>, Vol. 4 (No. 34, Jan 1976), pages PC34-10 to PC34-11. Annotated and scanned copy.

%H Herman P. Robinson, <a href="/A257574/a257574.pdf">The CSR Function</a>, Popular Computing (Calabasas, CA), Vol. 4 (No. 35, Feb 1976), pages PC35-3 to PC35-4. Annotated and scanned copy.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).

%o (PARI) a(n)=25*n^2-25*n+1 \\ _Charles R Greathouse IV_, Jun 17 2017

%Y Cf. A257574. A028387.

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, May 03 2015

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)