login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A245041 Number of partitions of n where the minimal multiplicity of any part is 10. 2
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 4, 2, 3, 3, 3, 2, 4, 2, 3, 3, 6, 3, 6, 4, 6, 4, 6, 3, 7, 4, 9, 6, 11, 7, 13, 11, 14, 12, 17, 13, 25, 18, 24, 22, 30, 26, 35, 28, 37, 33, 49, 37, 53, 45, 56, 54, 67, 58 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,21

LINKS

Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 10..1000

MAPLE

b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,

      b(n, i-1, k) +add(b(n-i*j, i-1, k), j=max(1, k)..n/i)))

    end:

a:= n-> b(n$2, 10) -b(n$2, 11):

seq(a(n), n=10..100);

MATHEMATICA

b[n_, i_, k_] := b[n, i, k] = If[n == 0, 1, If[i < 1, 0, b[n, i - 1, k] + Sum[b[n - i*j, i - 1, k], {j, Max[1, k], n/i}]]];

a[n_] := b[n, n, 10] - b[n, n, 11];

Table[a[n], {n, 10, 100}] (* Jean-Fran├žois Alcover, May 01 2018, translated from Maple *)

CROSSREFS

Column k=10 of A243978.

Sequence in context: A185217 A131456 A074944 * A161315 A161249 A161034

Adjacent sequences:  A245038 A245039 A245040 * A245042 A245043 A245044

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jul 10 2014

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 20 10:10 EDT 2019. Contains 327229 sequences. (Running on oeis4.)