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 A016173 #25 Nov 13 2024 17:01:40 %S A016173 1,16,196,2176,23056,238336,2430016,24580096,247480576,2484883456, %T A016173 24909300736,249455804416,2496734826496,24980408958976, %U A016173 249882453753856,2499294722523136,24995768335138816,249974610010832896,2499847660064997376,24999085960389984256,249994515762339905536,2499967094574039433216 %N A016173 Expansion of 1/((1-6*x)*(1-10*x)). %H A016173 G. C. Greubel, <a href="/A016173/b016173.txt">Table of n, a(n) for n = 0..990</a> %H A016173 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (16,-60). %F A016173 a(n) = (10^(n+1) - 6^(n+1))/4. - Al Hakanson (hawkuu(AT)gmail.com), Dec 31 2008 %F A016173 a(n) = 16*a(n-1) - 60*a(n-2). - _Philippe Deléham_, Jan 01 2009 %F A016173 a(n) = 10*a(n-1) + 6^n, a(0)=1. - _Vincenzo Librandi_, Feb 09 2011 %F A016173 E.g.f.: (1/2)*(5*exp(10*x) - 3*exp(6*x)). - _G. C. Greubel_, Nov 13 2024 %t A016173 Table[(10^(n+1) - 6^(n+1))/4, {n,0,40}] (* _Vladimir Joseph Stephan Orlovsky_, Feb 08 2011 *) %t A016173 CoefficientList[Series[1/((1-6x)(1-10x)), {x,0,40}], x] (* _Harvey P. Dale_, Mar 12 2011 *) %o A016173 (Magma) [(10^(n+1) - 6^(n+1))/4: n in [0..40]]; // _G. C. Greubel_, Nov 13 2024 %o A016173 (Python) %o A016173 def A016173(n): return (pow(10,n+1) - pow(6,n+1))//4 %o A016173 print([A016173(n) for n in range(41)]) # _G. C. Greubel_, Nov 13 2024 %Y A016173 Cf. A016129. %K A016173 nonn %O A016173 0,2 %A A016173 _N. J. A. Sloane_ %E A016173 More terms added by _G. C. Greubel_, Nov 13 2024