login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A341131 Number of partitions of n into 10 prime powers (including 1). 2
1, 1, 2, 3, 5, 6, 10, 13, 19, 24, 34, 41, 56, 67, 87, 105, 134, 156, 196, 228, 278, 320, 387, 439, 526, 593, 698, 783, 915, 1014, 1179, 1304, 1497, 1648, 1884, 2058, 2342, 2551, 2882, 3130, 3524, 3802, 4266, 4595, 5125, 5504, 6124, 6548, 7263, 7750, 8558 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,3

LINKS

Table of n, a(n) for n=10..60.

MAPLE

q:= proc(n) option remember; nops(ifactors(n)[2])<2 end:

b:= proc(n, i, t) option remember; `if`(n=0,

      `if`(t=0, 1, 0), `if`(i<1 or t<1, 0, b(n, i-1, t)+

      `if`(q(i), b(n-i, min(n-i, i), t-1), 0)))

    end:

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

seq(a(n), n=10..60);  # Alois P. Heinz, Feb 05 2021

CROSSREFS

Cf. A000961, A010055, A071330, A341112, A341122, A341123, A341124, A341125, A341126, A341127.

Sequence in context: A341126 A341127 A087750 * A288253 A341154 A035959

Adjacent sequences:  A341128 A341129 A341130 * A341132 A341133 A341134

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 05 2021

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 July 31 03:23 EDT 2021. Contains 346367 sequences. (Running on oeis4.)