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.

A229284 Number of ascending runs in {1,...,10}^n.

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%I A229284 #9 Jul 01 2023 16:01:48
%S A229284 0,10,155,2100,26500,320000,3750000,43000000,485000000,5400000000,
%T A229284 59500000000,650000000000,7050000000000,76000000000000,
%U A229284 815000000000000,8700000000000000,92500000000000000,980000000000000000,10350000000000000000,109000000000000000000
%N A229284 Number of ascending runs in {1,...,10}^n.
%H A229284 Alois P. Heinz, <a href="/A229284/b229284.txt">Table of n, a(n) for n = 0..990</a>
%H A229284 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (20,-100).
%F A229284 G.f.: -5*(9*x-2)*x/(10*x-1)^2.
%F A229284 a(n) = 10^(n-1)*(11*n+9)/2 for n>0, a(0) = 0.
%p A229284 a:= n-> `if`(n=0, 0, 10^(n-1)*(11*n+9)/2):
%p A229284 seq(a(n), n=0..30);
%Y A229284 Column k=10 of A229079.
%K A229284 nonn,easy
%O A229284 0,2
%A A229284 _Alois P. Heinz_, Sep 18 2013