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%I #20 Dec 12 2024 23:25:11
%S 1272,2644,2684,3141,3144,3185,3184,3185,3184,3185,3184,3185,3184,
%T 3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,
%U 3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185,3184,3185
%N Total number of coronal tilings of a width one length n straight polyiamond central frame with a specific hexiamond tile.
%C For even length n>4 the total number of coronal tilings is 3185.
%C For odd length n>5 the total number of coronal tilings is 3184.
%C 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 Craig Knecht, <a href="/A378455/a378455_2.png">Coronal detail</a>.
%H Craig Knecht, <a href="/A378455/a378455.png">Example for the sequence</a>.
%H Craig Knecht, <a href="/A378455/a378455.gif">n=9, 16 coronal tiles, 72 tilings</a>.
%H Craig Knecht, <a href="/A378455/a378455_1.png">Repeating 3185 3184 coronal tiling totals</a>.
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1).
%F G.f.: x*(1272 + 2644*x + 1412*x^2 + 497*x^3 + 40*x^4 + 44*x^5 + 40*x^6)/(1 - x^2). - _Stefano Spezia_, Nov 27 2024
%K nonn,easy
%O 1,1
%A _Craig Knecht_, Nov 26 2024