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!)
A320552 Number of partitions of n into parts of exactly ten sorts which are introduced in ascending order such that sorts of adjacent parts are different. 3
1, 46, 1202, 23523, 384227, 5542879, 73055550, 899381476, 10501235760, 117575627562, 1272685923725, 13401470756234, 137945728220808, 1393299928219652, 13851195993229478, 135865787060384468, 1317624915100586227, 12654868264707472392, 120534359759023933905 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

LINKS

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

FORMULA

a(n) ~ 9^(n-1) / (9! * QPochhammer[1/9]). - Vaclav Kotesovec, Oct 25 2018

MAPLE

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

      b(n, i-1, k) +`if`(i>n, 0, k*b(n-i, i, k)))

    end:

A:= (n, k)-> `if`(n=0, 1, `if`(k<2, k, k*b(n$2, k-1))):

a:= n-> (k-> add(A(n, k-i)*(-1)^i/(i!*(k-i)!), i=0..k))(10):

seq(a(n), n=10..40);

CROSSREFS

Column k=10 of A262495.

Cf. A258465.

Sequence in context: A010998 A004424 A258464 * A211835 A333066 A261940

Adjacent sequences:  A320549 A320550 A320551 * A320553 A320554 A320555

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 15 2018

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 May 28 17:37 EDT 2020. Contains 334684 sequences. (Running on oeis4.)