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 A152579 #32 Oct 28 2024 17:34:50 %S A152579 51,351,851,1551,2451,3551,4851,6351,8051,9951,12051,14351,16851, %T A152579 19551,22451,25551,28851,32351,36051,39951,44051,48351,52851,57551, %U A152579 62451,67551,72851,78351,84051,89951,96051,102351,108851,115551,122451,129551,136851,144351,152051,159951 %N A152579 a(n) = (10*n+3)*(10*n+17). %H A152579 Vincenzo Librandi, <a href="/A152579/b152579.txt">Table of n, a(n) for n = 0..10000</a> %H A152579 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1). %F A152579 a(n) = 100*n*(n+2) + 51 = 100*A005563(n) + 51 = 100*(n+1)^2 - 49 = A017270(n+1) - 49. %F A152579 a(n) = 2*a(n-2) - a(n-2) + 200. %F A152579 a(n) = 50*A056220(n+1) + 1. %F A152579 a(n+1) - a(n) = 200*n + 300 = 100*A144396(n+1). %F A152579 G.f.: (-51 - 198*x + 49*x^2)/(x-1)^3. - _R. J. Mathar_, Jul 01 2011 %F A152579 From _Elmo R. Oliveira_, Oct 27 2024: (Start) %F A152579 E.g.f.: exp(x)*(51 + 300*x + 100*x^2). %F A152579 a(n) = A017305(n)*A017353(n+1). %F A152579 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2. (End) %o A152579 (Magma) [(10*n+3)*(10*n+17): n in [0..40]]; // _Vincenzo Librandi_, Jul 28 2011 %o A152579 (PARI) a(n)=100*n*(n+2)+51 \\ _Charles R Greathouse IV_, Jul 28 2011 %Y A152579 Cf. A005563, A017270, A017305, A017353, A056220, A144396, A152161. %K A152579 nonn,easy %O A152579 0,1 %A A152579 _Paul Curtz_, Dec 08 2008