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.

A183151 Number of partitions of n minus the number of primes <= n.

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%I A183151 #7 Mar 30 2012 17:34:05
%S A183151 1,1,1,3,4,8,11,18,26,38,51,72,95,129,170,225,290,378,482,619,784,994,
%T A183151 1246,1566,1949,2427,3001,3709,4555,5594,6831,8338,10132,12299,14872,
%U A183151 17966,21625,26003,31173,37326,44570,53161,63247,75161,89120,105544,124739,147258,173510,204211
%N A183151 Number of partitions of n minus the number of primes <= n.
%C A183151 This has a visualization when the shell model of partition of A135010 is connected to the geometric model of the divisors of the natural numbers of A000005 which gives the location of the prime numbers for d(n)=2. See the illustrations of initial terms in the entries A000005, A000040, A000041 and A000720.
%F A183151 a(n) = A000041(n) - A000720(n) = p(n) - primepi(n).
%t A183151 Table[PartitionsP[n] - PrimePi[n], {n, 50}]
%Y A183151 Cf. A000040, A000041, A000720, A183050.
%K A183151 nonn
%O A183151 1,4
%A A183151 _Omar E. Pol_, Jan 27 2011