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!)
A321776 Number of compositions of n into parts with distinct multiplicities and with exactly six parts. 2
1, 6, 21, 6, 96, 192, 142, 372, 357, 372, 543, 798, 598, 1098, 1098, 1044, 1359, 1764, 1459, 2184, 2100, 2130, 2580, 3090, 2635, 3576, 3561, 3576, 4116, 4776, 4162, 5382, 5337, 5382, 6057, 6768, 6058, 7548, 7518, 7548, 8259, 9174, 8359, 10074, 10014, 10020 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..1000

FORMULA

Conjectures from Colin Barker, Dec 11 2018: (Start)

G.f.: x^6*(1 + 7*x + 28*x^2 + 33*x^3 + 122*x^4 + 286*x^5 + 394*x^6 + 638*x^7 + 687*x^8 + 652*x^9 + 433*x^10 + 319*x^11) / ((1 - x)^3*(1 + x)^2*(1 - x + x^2)*(1 + x^2)*(1 + x + x^2)^2*(1 + x + x^2 + x^3 + x^4)).

a(n) = -a(n-1) - a(n-2) + a(n-4) + 2*a(n-5) + 3*a(n-6) + 2*a(n-7) + a(n-8) - a(n-9) - 2*a(n-10) - 3*a(n-11) - 2*a(n-12) - a(n-13) + a(n-15) + a(n-16) + a(n-17).

(End)

CROSSREFS

Column k=6 of A242887.

Sequence in context: A069257 A133885 A170867 * A064929 A298266 A302202

Adjacent sequences:  A321773 A321774 A321775 * A321777 A321778 A321779

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 18 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 9 13:09 EDT 2021. Contains 343742 sequences. (Running on oeis4.)