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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A258364 Sum over all partitions lambda of n into 9 distinct parts of Product_{i:lambda} prime(i). 2
223092870, 281291010, 641200560, 1103452350, 2195564910, 3564916950, 6783216270, 11130902406, 20071816324, 33727230365, 53845325737, 85802963866, 137813486551, 211362471237, 328671594863, 499826194085, 762249961621, 1134280917570, 1705626051462, 2476880995049 (list; graph; refs; listen; history; text; internal format)
OFFSET

45,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 45..1000

MAPLE

g:= proc(n, i) option remember; convert(series(`if`(n=0, 1,

      `if`(i<1, 0, add(g(n-i*j, i-1)*(ithprime(i)*x)^j

      , j=0..min(1, n/i)))), x, 10), polynom)

    end:

a:= n-> coeff(g(n$2), x, 9):

seq(a(n), n=45..70);

CROSSREFS

Column k=9 of A258323.

Cf. A000040.

Sequence in context: A262559 A199498 A115343 * A046327 A206044 A321147

Adjacent sequences:  A258361 A258362 A258363 * A258365 A258366 A258367

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 27 2015

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 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)