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.

A117916 a(1) = 4; a(n) is smallest semiprime > 3*a(n-1).

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%I A117916 #7 Jul 11 2015 11:00:43
%S A117916 4,14,46,141,427,1282,3849,11553,34663,104001,312005,936017,2808053,
%T A117916 8424161,25272487,75817463,227452391,682357183,2047071551,6141214658,
%U A117916 18423643982,55270931959,165812795887,497438387665,1492315162999
%N A117916 a(1) = 4; a(n) is smallest semiprime > 3*a(n-1).
%C A117916 Semiprime analog of A076656 a(1) = 2; a(n) is smallest prime > 3*a(n-1). a(n)-a(n-1) is often 1, never more than 16 through n = 28, then jumps to 32 for n = 29; and I wonder what its value or mean value is asymptotically as a function of n.
%t A117916 nxt[n_]:=Module[{c=3n,k=1},While[PrimeOmega[c+k]!=2,k++];c+k]; NestList[ nxt,1,30] (* _Harvey P. Dale_, May 31 2012 *)
%Y A117916 Cf. A001358, A055496, A076656.
%K A117916 easy,nonn,less
%O A117916 1,1
%A A117916 _Jonathan Vos Post_, May 04 2006