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 A152551 #12 Sep 08 2022 08:45:39 %S A152551 1,1,1,7,9,121,169,3375,4913,130321,194481,6436343,9765625,387420489, %T A152551 594823321,27512614111,42618442977,2251875390625,3512479453921, %U A152551 208728361158759,327381934393961,21611482313284249,34050628916015625 %N A152551 a(n) = (2*n+1)^floor((n-1)/2). %C A152551 Compare to row sums of triangle A152550: (2n+1)^(n-1). %C A152551 Triangle A152550 lists coefficients in a q-analog of the function [LambertW(-2x)/(-2x)]^(1/2). %H A152551 G. C. Greubel, <a href="/A152551/b152551.txt">Table of n, a(n) for n = 0..642</a> %F A152551 a(n) = Sum_{k=0..n(n-1)/2} A152550(n,k)*(-1)^k. %t A152551 Table[(2n+1)^Floor[(n-1)/2],{n,0,30}] (* _Harvey P. Dale_, Nov 21 2011 *) %o A152551 (PARI) a(n)=(2*n+1)^((n-1)\2) %o A152551 (Magma) [(2*n+1)^Floor((n-1)/2): n in [0..50]]; // _G. C. Greubel_, Nov 16 2017 %Y A152551 Cf. A152550, A152552 (q=2), A152553 (q=3). %K A152551 nonn %O A152551 0,4 %A A152551 _Paul D. Hanna_, Dec 07 2008