The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A182723 Sum of (all parts of) all partitions of prime(n). 2
 4, 9, 35, 105, 616, 1313, 5049, 9310, 28865, 132385, 212102, 800569, 1827903, 2720223, 5863438, 17486343, 49077380, 68411805, 179539163, 333501555, 451555297, 1094043350, 1937092927, 4449637325, 12923400210, 21662593726, 27938641850, 46132984623, 59072140160 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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). LINKS FORMULA a(n) = A000040(n)*A000041(A000040(n)) = A066186(prime(n)). EXAMPLE a(6) = 1313 because the 6th prime is 13 and the partition number of 13 is 101, so 13*101=1313. MAPLE A182723 := proc(n) local p; p := ithprime(n) ; p*combinat[numbpart](p) ; end proc: # R. J. Mathar, Jan 31 2011 CROSSREFS Cf. A000040, A000041, A066186. Sequence in context: A179079 A084449 A182144 * A176607 A134815 A120073 Adjacent sequences:  A182720 A182721 A182722 * A182724 A182725 A182726 KEYWORD nonn AUTHOR Omar E. Pol, Jan 27 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 26 19:15 EST 2022. Contains 350599 sequences. (Running on oeis4.)