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 A352591 #12 May 08 2022 19:54:15 %S A352591 1,8,306,7546,210690,5684228,154869092,4207660108,114411435032, %T A352591 3110251075956,84557403666284,2298788023809188,62495515282157930, %U A352591 1699018055917569318,46189937030173640586,1255731173553810109440,34138623221740999081824,928101175618008434398704 %N A352591 Number of tilings of a 5 X n rectangle using 2 X 2 and 1 X 1 tiles and dominoes. %C A352591 The sequence is based on A352589. %H A352591 <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (15, 361, -200, -17183, 6963, 320541, -363476, -2096695, 2659007, 6914929, -7710612, -13172634, 10195340, 14247416, -5770992, -7493472, 1420800, 1734912, -133632, -138240). %F A352591 G.f.: (1 - 7*x - 175*x^2 + 268*x^3 + 5817*x^4 - 8527*x^5 - 62465*x^6 + 86808*x^7 + 299229*x^8 - 339035*x^9 - 761445*x^10 + 575980*x^11 + 1035378*x^12 - 409804*x^13 - 662520*x^14 + 131472*x^15 + 184320*x^16 - 16704*x^17 - 17280*x^18) / (1 - 15*x - 361*x^2 + 200*x^3 + 17183*x^4 - 6963*x^5 - 320541*x^6 + 363476*x^7 + 2096695*x^8 - 2659007*x^9 - 6914929*x^10 + 7710612*x^11 + 13172634*x^12 - 10195340*x^13 - 14247416*x^14 + 5770992*x^15 + 7493472*x^16 - 1420800*x^17 - 1734912*x^18 + 133632*x^19 + 138240*x^20). %F A352591 Recurrence: a(n) = 15*a(n-1) + 361*a(n-2) - 200*a(n-3) - 17183*a(n-4) + 6963*a(n-5) + 320541*a(n-6) - 363476*a(n-7) - 2096695*a(n-8) + 2659007*a(n-9) + 6914929*a(n-10) - 7710612*a(n-11) - 13172634*a(n-12) + 10195340*a(n-13) + 14247416*a(n-14) - 5770992*a(n-15) - 7493472*a(n-16) + 1420800*a(n-17) + 1734912*a(n-18) - 133632*a(n-19) - 138240*a(n-20). %Y A352591 Cf. A352589, A352590. %K A352591 nonn,easy %O A352591 0,2 %A A352591 _Gerhard Kirchner_, Mar 22 2022