The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A323764 Dirichlet self-convolution of the integer partition numbers A000041. 3
 1, 1, 4, 6, 14, 14, 34, 30, 64, 69, 112, 112, 228, 202, 330, 394, 575, 594, 956, 980, 1492, 1674, 2228, 2510, 3700, 3965, 5276, 6200, 8126, 9130, 12318, 13684, 17842, 20622, 25808, 29976, 38377, 43274, 53990, 62976, 77912, 89166, 110656, 126522, 154918, 179744 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also the number of multiset partitions of constant multiset partitions of integer partitions of n. LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..10000 FORMULA a(n) ~ exp(Pi*sqrt(2*n/3)) / (2*n*sqrt(3)). - Vaclav Kotesovec, Jan 28 2019 EXAMPLE The a(4) = 14 multiset partitions of constant multiset partitions: ((1111)) ((22)) ((4)) ((31)) ((211)) ((11)(11)) ((2)(2)) ((11))((11)) ((2))((2)) ((1)(1)(1)(1)) ((1))((1)(1)(1)) ((1)(1))((1)(1)) ((1))((1))((1)(1)) ((1))((1))((1))((1)) MATHEMATICA Join[{1}, Table[Sum[PartitionsP[d]*PartitionsP[n/d], {d, Divisors[n]}], {n, 1, 100}]] CROSSREFS Cf. A000041, A000837, A001970, A002033, A003238, A034729, A047968, A279787, A305551, A306017, A319056, A323774. Sequence in context: A310604 A310605 A034759 * A310606 A310607 A310608 Adjacent sequences: A323761 A323762 A323763 * A323765 A323766 A323767 KEYWORD nonn AUTHOR Gus Wiseman, Jan 27 2019 STATUS approved

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

Last modified May 19 09:42 EDT 2024. Contains 372683 sequences. (Running on oeis4.)