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 A147832 #23 Aug 01 2019 10:45:19 %S A147832 0,2,14,16,28,30,42,44,56,58,70,72,84,86,98,100,112,114,126,128,140, %T A147832 142,154,156,168,170,182,184,196,198,210,212,224,226,238,240,252,254, %U A147832 266,268,280,282,294,296,308,310,322,324,336,338,350,352,364,366,378,380 %N A147832 Numbers congruent (0,2) mod 14. %H A147832 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1). %F A147832 Except for the initial term, a(n) = A113801(n-1) + 1. %F A147832 a(n) = 14*n - a(n-1) - 26 (with a(1)=0). - _Vincenzo Librandi_, Dec 17 2010 %F A147832 From _Bruno Berselli_, Dec 17 2010: (Start) %F A147832 G.f.: 2*x^2*(1+6*x)/((1+x)*(1-x)^2). %F A147832 a(n) = 2*A047274(n) = (14*n - 5*(-1)^n - 19)/2. %F A147832 a(n) = 2*(A001106(n-1) - Sum_{i=1..n-1} a(i)) for n > 1. (End) %t A147832 Flatten[{#,#+2}&/@(14 Range[0,30])] (* _Harvey P. Dale_, Dec 25 2010 *) %Y A147832 Cf. A113801, A047274, A001106. %K A147832 easy,nonn %O A147832 1,2 %A A147832 _Giovanni Teofilatto_, Nov 14 2008 %E A147832 382 replaced with 380 by _R. J. Mathar_, Jun 28 2010