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 A378455 #23 Feb 11 2025 07:46:40 %S A378455 1272,2644,2684,3141,3144,3185,3184,3185,3184,3185,3184,3185,3184, %T A378455 3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185, %U A378455 3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185 %N A378455 Total number of coronal tilings of a width one length n straight polyiamond central frame with a specific hexiamond tile. %C A378455 For even length n>4 the total number of coronal tilings is 3185. %C A378455 For odd length n>5 the total number of coronal tilings is 3184. %C A378455 The corona can be composed of different numbers of coronal tiles. The number of coronal tilings for a given number of coronal tiles is noted. %H A378455 Craig Knecht, <a href="/A378455/a378455_2.png">Coronal detail</a>. %H A378455 Craig Knecht, <a href="/A378455/a378455.png">Example for the sequence</a>. %H A378455 Craig Knecht, <a href="/A378455/a378455.gif">n=9, 16 coronal tiles, 72 tilings</a>. %H A378455 Craig Knecht, <a href="/A378455/a378455_1.png">Repeating 3185 3184 coronal tiling totals</a>. %H A378455 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1). %F A378455 G.f.: x*(1272 + 2644*x + 1412*x^2 + 497*x^3 + 460*x^4 + 44*x^5 + 40*x^6)/(1 - x^2). - _Stefano Spezia_, Nov 27 2024 %t A378455 Drop[CoefficientList[Series[x*(1272 + 2644*x + 1412*x^2 + 497*x^3 + 460*x^4 + 44*x^5 + 40*x^6)/(1 - x^2), {x,0,32}], x], 1] (* _Georg Fischer_, Feb 11 2025 *) %K A378455 nonn,easy %O A378455 1,1 %A A378455 _Craig Knecht_, Nov 26 2024