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

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

Offset: 1

Author

Gary W. Adamson, Feb 14 2010

Keywords

• nonn

Examples

			(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,...).
		

Crossrefs

Cf. A000290, A152205

Formula

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.

Extensions

Definition corrected to match the offset by R. J. Mathar, Feb 21 2010