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.

A179654 Sum of the numbers already removed (including the target number) in the first jump of a Sieve of Eratosthenes table.

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%I A179654 #8 Jul 19 2015 03:32:25
%S A179654 4,10,33,53,138,201,340,431,624,1024,1116,1557,1989,2202,2702,3357,
%T A179654 4098,4520,5484,6109,6615,7608,8502,9802,11391,12286,13002,14160,
%U A179654 14918,16142,19896,21320,23069,23760,27377,28429,30430,33159,34977,37876,40177
%N A179654 Sum of the numbers already removed (including the target number) in the first jump of a Sieve of Eratosthenes table.
%C A179654 2(4) = 4, 3(6) = 10(4,6), 5(10) = 33(6,8,9,10), 7(14) = 53(8,9,10,12,14), 11(22) = 138(12,14,15,16,18,20,21,22).
%t A179654 fQ[n_, p_] := Block[{q = First /@ FactorInteger@n}, Union[p >= # & /@ q] == {True}]; f[n_] := Block[{p = Prime@n}, Plus @@ Select[ Range[p + 1, 2 p], fQ[ #, p] &]]; Array[f, 41] (* _Robert G. Wilson v_, Aug 23 2010 *)
%Y A179654 Cf. A000040 and A179628.
%K A179654 easy,nonn
%O A179654 0,1
%A A179654 _Odimar Fabeny_, Jul 22 2010
%E A179654 a(6)-a(41) from _Robert G. Wilson v_, Aug 23 2010