This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A173277 #5 Jul 22 2025 07:50:04 %S A173277 1,4,13,32,74,152,298,544,964,1632,2700,4320,6790,10408,15718,23264, %T A173277 34010,48920,69626,97760,136022,187112,255350,345056,463020,616032, %U A173277 814500,1068832,1394746,1807960,2331738,2989344,3814788,4842080,6120140,7697888,9644950 %N A173277 A(x) satisfies A000290(x)/x^2 = A(x)/A(x^2); A000290 = integer squares. %F A173277 A(x) = (1+x)*A(x^2)/(x*(1-x)^3). %F A173277 Given triangle A152205, (squares in every column shifted down twice) = M, then %F A173277 Lim_{n->inf} M^n = A173277 as a left-shifted vector. %e A173277 (1 + 4x + 13x^2 + 32x^3 + ...) = (1 + 4x + 9x^2 + 16x^3 + ...) %e A173277 / (1 + 4x^2 + 9x^4 + 16x^6 + ...)= (1, 4, 13, 32,...) = (1, 4, 9, 16,...) %e A173277 / (1, 0, 4, 0, 9, 0, 16,...). %Y A173277 Cf. A000290, A152205 %K A173277 nonn %O A173277 1,2 %A A173277 _Gary W. Adamson_, Feb 14 2010 %E A173277 Definition corrected to match the offset by _R. J. Mathar_, Feb 21 2010