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.
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!)
A226749 Number of partitions of n into distinct Platonic numbers, cf. A053012. 3

%I #6 Sep 08 2022 12:55:38

%S 1,1,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,3,3,4,4,4,4,5,5,5,6,7,6,6,

%T 6,7,7,8,8,9,9,9,9,9,9,11,11,11,12,13,13,12,12,13,15,15,16,17,17,16,

%U 18,18,19,19,21,21,23,24,25,24,24,24,26,26,29,32

%N Number of partitions of n into distinct Platonic numbers, cf. A053012.

%H Reinhard Zumkeller, <a href="/A226749/b226749.txt">Table of n, a(n) for n = 0..1000</a>

%e First Platonic numbers: 1, 4, 6, 8, 10, 12, 19, 20, 27, ...

%e a(10) = #{10, 6+4} = 2;

%e a(11) = #{10+1, 6+4+1} = 2;

%e a(12) = #{12, 8+4} = 2;

%e a(13) = #{12+1, 8+4+1} = 2;

%e a(14) = #{10+4, 8+6} = 2;

%e a(15) = #{10+4+1, 8+6+1} = 2;

%e a(16) = #{12+4, 10+6} = 2;

%e a(17) = #{12+4+1, 10+6+1} = 2;

%e a(18) = #{12+6, 10+8, 8+6+4} = 3;

%e a(19) = #{19, 12+6+1, 10+8+1, 8+6+4+1} = 4;

%e a(20) = #{20, 19+1, 12+8, 10+6+4} = 4.

%o (Haskell)

%o a226749 = p a053012_list where

%o p _ 0 = 1

%o p (k:ks) m = if m < k then 0 else p ks (m - k) + p ks m

%Y Cf. A053012, A226748.

%K nonn

%O 0,11

%A _Reinhard Zumkeller_, Jun 17 2013

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 May 30 03:00 EDT 2024. Contains 372957 sequences. (Running on oeis4.)