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.
%I A182723 #10 Jan 19 2019 19:46:00 %S A182723 4,9,35,105,616,1313,5049,9310,28865,132385,212102,800569,1827903, %T A182723 2720223,5863438,17486343,49077380,68411805,179539163,333501555, %U A182723 451555297,1094043350,1937092927,4449637325,12923400210,21662593726,27938641850,46132984623,59072140160 %N A182723 Sum of (all parts of) all partitions of prime(n). %C A182723 These moments have a visualization when the shell model of partitions of A135010 is connected to the geometric model of the divisors of the natural numbers which gives the location of the prime numbers (see the illustrations of initial terms in the entries A000005, A000040 and A000041). %F A182723 a(n) = A000040(n)*A000041(A000040(n)) = A066186(prime(n)). %e A182723 a(6) = 1313 because the 6th prime is 13 and the partition number of 13 is 101, so 13*101=1313. %p A182723 A182723 := proc(n) local p; p := ithprime(n) ; p*combinat[numbpart](p) ; end proc: # _R. J. Mathar_, Jan 31 2011 %Y A182723 Cf. A000040, A000041, A066186. %K A182723 nonn %O A182723 1,1 %A A182723 _Omar E. Pol_, Jan 27 2011