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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A239964 Number of partitions of n such that (number of distinct parts) = maximal multiplicity of the parts. 5

%I #6 Apr 04 2014 13:30:05

%S 0,1,1,1,2,3,3,4,6,5,11,12,15,21,26,30,41,52,56,82,99,118,144,189,221,

%T 279,327,405,491,600,699,860,1038,1230,1470,1754,2106,2487,2970,3489,

%U 4148,4883,5779,6763,8024,9284,11006,12780,15029,17452,20405,23660

%N Number of partitions of n such that (number of distinct parts) = maximal multiplicity of the parts.

%e a(8) counts these partitions: 8, 611, 422, 332, 3311, 32111.

%t z = 58; d[p_] := d[p] = Length[DeleteDuplicates[p]]; m[p_] := Max[Map[Length, Split[p]]]; Table[Count[IntegerPartitions[n], p_ /; d[p] == m[p]], {n, 0, z}]

%Y Cf. A239948, A239966.

%K nonn,easy

%O 0,5

%A _Clark Kimberling_, Mar 30 2014

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)