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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A244517 Number of partitions of n where the minimal multiplicity of any part is 4. 2
0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 4, 2, 3, 3, 6, 3, 6, 4, 10, 6, 10, 7, 19, 13, 17, 16, 31, 22, 34, 28, 48, 39, 54, 49, 76, 62, 84, 79, 120, 96, 133, 124, 179, 162, 202, 193, 275, 249, 315, 300, 412, 379, 480, 467, 603, 577, 711, 696, 905, 850, 1035, 1038, 1307, 1258, 1509, 1511, 1864, 1834, 2185, 2171, 2673, 2636 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Column k=4 of A243978.

LINKS

Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 1..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, 4) -b(n$2, 5):

seq(a(n), n=1..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, 4] - b[n, n, 5];

Array[a, 100] (* Jean-Fran├žois Alcover, May 01 2018, translated from Maple *)

CROSSREFS

Sequence in context: A304576 A249029 A075997 * A297294 A161309 A161243

Adjacent sequences:  A244514 A244515 A244516 * A244518 A244519 A244520

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jun 29 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 October 18 23:39 EDT 2019. Contains 328211 sequences. (Running on oeis4.)