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A173277 A(x) satisfies A000290(x)/x^2 = A(x)/A(x^2); A000290 = integer squares 3

%I

%S 1,4,13,32,74,152,298,544,964,1632,2700,4320,6790,10408,15718,23264,

%T 34010,48920,69626,97760,136022,187112,255350,345056,463020,616032,

%U 814500,1068832,1394746,1807960,2331738,2989344,3814788,4842080,6120140,7697888,9644950

%N A(x) satisfies A000290(x)/x^2 = A(x)/A(x^2); A000290 = integer squares

%F A(x) = (1+x)*A(x^2)/(x*(1-x)^3).

%F Given triangle A152205, (squares in every column shifted down twice) = M, then

%F Lim_{n->inf} M^n = A173277 as a left-shifted vector.

%e (1 + 4x + 13x^2 + 32x^3 + ...) = (1 + 4x + 9x^2 + 16x^3 + ...)

%e / (1 + 4x^2 + 9x^4 + 16x^6 + ...)= (1, 4, 13, 32,...) = (1, 4, 9, 16,...)

%e / (1, 0, 4, 0, 9, 0, 16,...).

%Y Cf. A000290, A152205

%K nonn

%O 1,2

%A _Gary W. Adamson_, Feb 14 2010

%E Definition corrected to match the offset by _R. J. Mathar_, Feb 21 2010

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Last modified May 15 07:17 EDT 2021. Contains 343909 sequences. (Running on oeis4.)