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.

A087330 Sum of all digits of all integers less than or equal to 555...55 (with n 5's) in base 10.

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%I A087330 #17 Mar 26 2024 14:46:17
%S A087330 0,15,370,6150,86430,1114210,13641990,161419770,1864197550,
%T A087330 21141975330,236419753110,2614197530890,28641975308670,
%U A087330 311419753086450,3364197530864230,36141975308642010,386419753086419790
%N A087330 Sum of all digits of all integers less than or equal to 555...55 (with n 5's) in base 10.
%C A087330 From a suggestion of _Yalcin Aktar_
%H A087330 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (22,-141,220,-100).
%F A087330 a(n) = 20/9*n-110/81*10^n+110/81+5/2*n*10^n (formula from B. Greco).
%F A087330 G.f.: 5*x*(25*x^2+8*x+3) / ((x-1)^2*(10*x-1)^2). - _Colin Barker_, Jun 14 2013
%e A087330 a(1)=15 since numbers less than or equal to 5 are 1,2,3,4,5 and the sum of digits is 1+2+3+4+5=15.
%t A087330 LinearRecurrence[{22,-141,220,-100},{0,15,370,6150},20] (* _Harvey P. Dale_, Aug 01 2016 *)
%K A087330 base,nonn,easy
%O A087330 0,2
%A A087330 _Benoit Cloitre_, Oct 20 2003