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A173277
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A(x) satisfies A000290(x)/x^2 = A(x)/A(x^2); A000290 = integer squares
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3
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1, 4, 13, 32, 74, 152, 298, 544, 964, 1632, 2700, 4320, 6790, 10408, 15718, 23264, 34010, 48920, 69626, 97760, 136022, 187112, 255350, 345056, 463020, 616032, 814500, 1068832, 1394746, 1807960, 2331738, 2989344, 3814788, 4842080, 6120140, 7697888, 9644950
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OFFSET
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1,2
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LINKS
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FORMULA
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A(x) = (1+x)*A(x^2)/(x*(1-x)^3).
Given triangle A152205, (squares in every column shifted down twice) = M, then
Lim_{n->inf} M^n = A173277 as a left-shifted vector.
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EXAMPLE
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(1 + 4x + 13x^2 + 32x^3 + ...) = (1 + 4x + 9x^2 + 16x^3 + ...)
/ (1 + 4x^2 + 9x^4 + 16x^6 + ...)= (1, 4, 13, 32,...) = (1, 4, 9, 16,...)
/ (1, 0, 4, 0, 9, 0, 16,...).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Definition corrected to match the offset by R. J. Mathar, Feb 21 2010
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STATUS
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approved
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