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 A174928 #5 Jun 30 2023 15:17:44 %S A174928 1,65,66,130,131,195,196,260,261,325,326,390,391,455,456,520,521,585, %T A174928 586,650,651,715,716,780,781,845,846,910,911,975,976,1040,1041,1105, %U A174928 1106,1170,1171,1235,1236,1300,1301,1365,1366,1430,1431,1495,1496,1560 %N A174928 Partial sums of A174927. %C A174928 First differences of A174929. %H A174928 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1, -1). %F A174928 a(n) = (67+130*n-63*(-1)^n)/4. %F A174928 a(n) = a(n-2)+65 for n > 1; a(0) = 1, a(1) = 65. %F A174928 a(n) = ((n+1) mod 2) + 65*floor((n+1)/2). %F A174928 G.f.: (1+64*x)/((1-x)^2*(1+x)). %o A174928 (Magma) T:=&cat[ [1, 64]: n in [0..23] ]; [ n eq 1 select T[1] else Self(n-1)+T[n]: n in [1..#T] ]; %o A174928 [ n le 2 select 64*n-63 else Self(n-2)+65: n in [1..48] ]; %Y A174928 Cf. A174927 (repeat 1, 64), A174929. %K A174928 nonn %O A174928 0,2 %A A174928 _Klaus Brockhaus_, Apr 02 2010