cp's OEIS Frontend

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.

A159551 a(n) = 101*n + 10.

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%I A159551 #16 Apr 03 2025 18:02:35
%S A159551 10,111,212,313,414,515,616,717,818,919,1020,1121,1222,1323,1424,1525,
%T A159551 1626,1727,1828,1929,2030,2131,2232,2333,2434,2535,2636,2737,2838,
%U A159551 2939,3040,3141,3242,3343,3444,3545,3646,3747,3848,3949,4050,4151,4252,4353,4454,4555
%N A159551 a(n) = 101*n + 10.
%H A159551 Vincenzo Librandi, <a href="/A159551/b159551.txt">Table of n, a(n) for n = 0..5000</a>
%H A159551 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A159551 From _Elmo R. Oliveira_, Apr 03 2025: (Start)
%F A159551 G.f.: (10 + 91*x)/(1-x)^2.
%F A159551 E.g.f.: exp(x)*(10 + 101*x).
%F A159551 a(n) = 2*a(n-1) - a(n-2). (End)
%t A159551 f[n_] := FromDigits[ IntegerDigits[n^3 + n^2 + n - 1, n + 1]]; Array[f, 54]
%o A159551 (Magma) [101*n+10: n in [0..50]]; // _Vincenzo Librandi_, Jul 30 2011
%Y A159551 Cf. A017281, A017509.
%K A159551 easy,nonn
%O A159551 0,1
%A A159551 _Robert G. Wilson v_, Apr 14 2009
%E A159551 Offset changed from 1 to 0 by _Vincenzo Librandi_, Jul 30 2011