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!)
A171632 Number of compositions of n such that the greatest part is divisible by the number of parts. 3
1, 1, 3, 2, 6, 9, 15, 22, 41, 68, 118, 199, 337, 571, 982, 1677, 2860, 4866, 8284, 14084, 23911, 40544, 68679, 116172, 196249, 331096, 557927, 939008, 1578450, 2650167, 4444505, 7445658, 12460248, 20830822, 34790302, 58049613, 96771364, 161182065 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

G.f.: Sum_{n>=0} Sum_{d|n} ((x^(n+1)-x)^d-(x^n-x)^d)/(x-1)^d.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..250

MAPLE

b:= proc(n, t, g) option remember; `if` (n=0, `if` (irem(g, t)=0, 1, 0), add (b(n-i, t+1, max(i, g)), i=1..n)) end: a:= n-> b(n, 0, 0): seq (a(n), n=1..40); # Alois P. Heinz, Dec 15 2009

CROSSREFS

Cf. A168659.

Sequence in context: A210601 A197493 A300070 * A245609 A072765 A210756

Adjacent sequences:  A171629 A171630 A171631 * A171633 A171634 A171635

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Dec 13 2009

EXTENSIONS

More terms from Alois P. Heinz, Dec 15 2009

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 20 07:41 EDT 2020. Contains 337897 sequences. (Running on oeis4.)