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A341951 Number of partitions of n into 8 primes (counting 1 as a prime). 10
1, 1, 2, 2, 4, 4, 7, 7, 11, 10, 15, 14, 21, 19, 27, 23, 35, 30, 44, 37, 54, 44, 67, 55, 81, 65, 96, 75, 115, 89, 133, 102, 155, 116, 180, 134, 206, 153, 236, 171, 271, 194, 305, 220, 346, 242, 391, 273, 438, 305, 489, 334, 551, 374, 608, 412, 674, 447, 750, 494, 823 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,3

LINKS

Table of n, a(n) for n=8..68.

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, 9)

    end:

a:= n-> coeff(b(n, numtheory[pi](n)), x, 8):

seq(a(n), n=8..68);  # Alois P. Heinz, Feb 24 2021

CROSSREFS

Cf. A008578, A034891, A259198, A341945, A341946, A341947, A341948, A341949, A341950.

Sequence in context: A341950 A230167 A060028 * A182410 A341719 A099770

Adjacent sequences:  A341948 A341949 A341950 * A341952 A341953 A341954

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 24 2021

STATUS

approved

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Last modified June 12 08:13 EDT 2021. Contains 344943 sequences. (Running on oeis4.)