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comment Given f[1] … f[k], k = 1, 2, 3… how do one find the general function f[n]?
InterpolatingPolynomial[{2a b,2a b(1+6a),2a b(1+9a+12a^2),2a b(1+21a+72a^2+60a^3),2a b(1+45a+300a^2+600a^3+360a^4),2a b(1+93a+1080a^2+3900a^3+5400a^4+2520a^5)},x]//Simplify
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revised RSolve works slow and does not give an analytical solution for solving high order linear difference equations
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accepted How can I define a function that can accumulate its parameter?
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accepted Why is Mathematica's expansion of expressions with square roots so slow?
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asked How can I define a function that can accumulate its parameter?