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!)
A341980 Number of partitions of n into 9 distinct primes (counting 1 as a prime). 4
1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 3, 0, 1, 0, 3, 0, 5, 0, 4, 1, 6, 0, 10, 0, 6, 1, 11, 1, 16, 1, 11, 2, 19, 2, 25, 1, 18, 5, 32, 4, 36, 2, 32, 9, 47, 7, 55, 7, 49, 14, 69, 10, 80, 12, 74, 22, 98, 19, 117, 22, 106, 34, 140, 31, 158, 32, 149, 54, 194, 48, 215, 50 (list; graph; refs; listen; history; text; internal format)
OFFSET

78,11

LINKS

Table of n, a(n) for n=78..151.

MAPLE

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

     `if`(i<0, 0, (p-> `if`(p>n, 0, x*b(n-p, i-1)))(

     `if`(i=0, 1, ithprime(i)))+b(n, i-1))), x, 10)

    end:

a:= n-> coeff(b(n, numtheory[pi](n)), x, 9):

seq(a(n), n=78..151);  # Alois P. Heinz, Feb 24 2021

CROSSREFS

Cf. A008578, A036497, A219203, A341719, A341973, A341974, A341975, A341976, A341977, A341978, A341979, A341981.

Sequence in context: A243016 A284975 A219202 * A218031 A135523 A194663

Adjacent sequences:  A341977 A341978 A341979 * A341981 A341982 A341983

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 24 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 June 13 00:57 EDT 2021. Contains 344980 sequences. (Running on oeis4.)