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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A317388 a(n) is the smallest number having at least n partitions into n parts with the same product. 1
 39, 24, 25, 26, 28, 30, 31, 34, 35, 37, 39, 41, 43, 44, 46, 48, 49, 51, 52, 53, 54, 56, 57, 58, 60, 61, 62, 63, 65, 66, 68, 69, 70, 72, 73, 74, 76, 77, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 LINKS Byungchul Cha et al., An Investigation on Partitions with Equal Products, arXiv:1811.07451 [math.NT], 2018. EXAMPLE a(4) = 24 because 24 is the smallest number which admits 4 partitions in 4 parts with the same product: 24  = 12+5+4+3 = 10+8+3+3 = 10+6+6+2 = 9+8+5+2, and 720 = 12*5*4*3 = 10*8*3*3 = 10*6*6*2 = 9*8*5*2. MATHEMATICA a[n_] := Block[{k=n}, While[Max[Last /@ Tally[Times @@@ IntegerPartitions[k, {n}]]] < n, k++]; k]; Array[a, 40, 3] CROSSREFS Cf. A119028. Sequence in context: A033359 A326791 A268854 * A088344 A268856 A273597 Adjacent sequences:  A317385 A317386 A317387 * A317389 A317390 A317391 KEYWORD nonn AUTHOR Giovanni Resta, Jul 27 2018 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 21 06:36 EDT 2022. Contains 353889 sequences. (Running on oeis4.)