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.

A135103 Digital sum (base the n-th prime) of n^3.

This page as a plain text file.
%I A135103 #7 Nov 21 2013 12:49:08
%S A135103 1,4,3,4,5,12,7,26,25,20,41,36,37,56,63,40,41,72,61,90,117,118,113,96,
%T A135103 73,76,99,116,89,120,181,138,169,112,251,156,109,116,57,188,35,108,87,
%U A135103 128,181,118,83,258,129,284,179,188,317,214,231,338,273,442,311,400,253
%N A135103 Digital sum (base the n-th prime) of n^3.
%H A135103 Harvey P. Dale, <a href="/A135103/b135103.txt">Table of n, a(n) for n = 1..1000</a>
%F A135103 a(n)=ds_prime(n)(n^3), where ds_prime(n)=digital sum base the n-th prime.
%F A135103 a(n)=n^3-(prime(n)-1)*sum{k>0, floor(n^3/prime(n)^k)}.
%e A135103 a(2)=ds_prime(2)(2^3)=ds_3(8)=2+2=4; a(6)=ds_prime(6)(6^3)=ds_13(216)=1+3+8=12.
%t A135103 Table[Total[IntegerDigits[n^3,Prime[n]]],{n,70}] (* _Harvey P. Dale_, Oct 21 2011 *)
%Y A135103 Cf. A000040, A007953, A054899, A075771, A131451, A133620, A133900, A134599.
%K A135103 nonn,base
%O A135103 1,2
%A A135103 _Hieronymus Fischer_, Dec 24 2007