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.

A187337 a(n) = Sum_{k=1..6} floor(k*n/7).

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%I A187337 #12 Jun 12 2025 08:30:52
%S A187337 0,0,3,6,9,12,15,21,21,24,27,30,33,36,42,42,45,48,51,54,57,63,63,66,
%T A187337 69,72,75,78,84,84,87,90,93,96,99,105,105,108,111,114,117,120,126,126,
%U A187337 129,132,135,138,141,147,147,150,153,156,159,162,168,168,171,174,177,180,183,189,189,192,195,198,201,204,210,210,213,216,219,222,225,231,231,234,237,240,243,246,252,252,255,258,261,264,267,273,273,276,279,282,285,288,294,294,297,300
%N A187337 a(n) = Sum_{k=1..6} floor(k*n/7).
%F A187337 a(n) = Sum_{k=1..6} floor(k*n/7).
%F A187337 Empirical g.f.: 3*x^2*(2*x^5 +x^4 +x^3 +x^2 +x +1) / ((x-1)^2*(x^6 +x^5 +x^4 +x^3 +x^2 +x +1)). - _Colin Barker_, Mar 20 2013
%t A187337 Table[Sum[Floor[k*n/7],{k,1,6}],{n,0,120}]
%K A187337 nonn
%O A187337 0,3
%A A187337 _Clark Kimberling_, Mar 08 2011