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A341949 Number of partitions of n into 6 primes (counting 1 as a prime). 10
1, 1, 2, 2, 4, 4, 7, 6, 9, 8, 12, 10, 16, 12, 19, 15, 24, 18, 29, 21, 35, 25, 41, 29, 49, 33, 56, 37, 63, 41, 72, 46, 82, 51, 91, 58, 105, 63, 115, 68, 128, 77, 143, 83, 158, 90, 174, 101, 193, 107, 211, 116, 231, 128, 250, 134, 273, 142, 294, 157, 321, 165, 347, 176, 374 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,3

LINKS

Table of n, a(n) for n=6..70.

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)))(

     `if`(i=0, 1, ithprime(i)))+b(n, i-1))), x, 7)

    end:

a:= n-> coeff(b(n, numtheory[pi](n)), x, 6):

seq(a(n), n=6..70);  # Alois P. Heinz, Feb 24 2021

CROSSREFS

Cf. A008578, A034891, A259196, A341945, A341946, A341947, A341948, A341950, A341951.

Sequence in context: A272339 A267261 A219027 * A338333 A287144 A085893

Adjacent sequences:  A341946 A341947 A341948 * A341950 A341951 A341952

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 24 2021

STATUS

approved

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Last modified May 15 18:26 EDT 2021. Contains 343920 sequences. (Running on oeis4.)