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.

A109444 Cumulative sum of mosaic numbers (A000026).

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%I A109444 #11 Dec 18 2019 00:54:42
%S A109444 1,3,6,10,15,21,28,34,40,50,61,73,86,100,115,123,140,152,171,191,212,
%T A109444 234,257,275,285,311,320,348,377,407,438,448,481,515,550,574,611,649,
%U A109444 688,718,759,801,844,888,918,964,1011,1035,1049,1069,1120,1172,1225
%N A109444 Cumulative sum of mosaic numbers (A000026).
%C A109444 Integers in this sequence which are themselves primes include a(2) = 3, a(11) = 61, a(12) = 73, a(20) = 191, a(23) = 257, a(26) = 311, a(62) = 1697, a(67) = 1949, a(68) = 2017. Integers in this sequence which are perfect powers greater than 1 of composites include a(14) = 100, a(53) = 1225.
%F A109444 A000026(Product (p_j^k_j)) = Product (p_j * k_j).
%F A109444 a(n) = Sum_{i=1..n} A000026(i).
%t A109444 Accumulate[Array[Times@@Flatten[FactorInteger[#]]&,60]] (* _Harvey P. Dale_, Sep 16 2018 *)
%Y A109444 Cf. A000026.
%K A109444 easy,nonn
%O A109444 1,2
%A A109444 _Jonathan Vos Post_, Aug 26 2005