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.

A343586 a(n) = the sum of all the multiples of 2 or 5 less than or equal to 10^n.

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%I A343586 #35 Sep 18 2021 00:39:38
%S A343586 35,3050,300500,30005000,3000050000,300000500000,30000005000000,
%T A343586 3000000050000000,300000000500000000,30000000005000000000,
%U A343586 3000000000050000000000,300000000000500000000000,30000000000005000000000000,3000000000000050000000000000
%N A343586 a(n) = the sum of all the multiples of 2 or 5 less than or equal to 10^n.
%H A343586 Nicolo Sartori di Borgoricco, <a href="/A343586/a343586.pdf">Proof that formula is correct</a>
%H A343586 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (110,-1000).
%F A343586 a(n) = 3*10^(2*n-1) + 5*10^(n-1).
%F A343586 G.f.: 5*x*(7 - 160*x)/(1 - 110*x + 1000*x^2). - _Stefano Spezia_, Apr 21 2021
%F A343586 a(n) = 110*a(n-1)-1000*a(n-2). - _Wesley Ivan Hurt_, Apr 26 2021
%e A343586 a(1) = 2 + 5 + 4 + 6 + 8 + 10 = 3*10^(2*1-1) + 5*10^(1-1) = 35.
%Y A343586 Cf. A065502 (multiples of 2 or 5).
%K A343586 nonn,easy
%O A343586 1,1
%A A343586 _Nicolo Sartori di Borgoricco_, Apr 20 2021