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A341950 Number of partitions of n into 7 primes (counting 1 as a prime). 11
1, 1, 2, 2, 4, 4, 7, 7, 10, 9, 14, 12, 19, 16, 23, 19, 30, 24, 37, 29, 44, 35, 55, 41, 65, 49, 75, 56, 89, 63, 102, 72, 116, 82, 134, 91, 153, 105, 171, 115, 194, 128, 220, 143, 242, 158, 273, 174, 305, 193, 334, 211, 374, 231, 412, 250, 447, 273, 494, 294, 541, 321 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..10000

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, 8)

    end:

a:= n-> coeff(b(n, numtheory[pi](n)), x, 7):

seq(a(n), n=7..68);  # Alois P. Heinz, Feb 24 2021

CROSSREFS

Cf. A008578, A034891, A259197, A341945, A341946, A341947, A341948, A341949, A341951.

Sequence in context: A338333 A287144 A085893 * A230167 A060028 A341951

Adjacent sequences:  A341947 A341948 A341949 * A341951 A341952 A341953

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 24 2021

STATUS

approved

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Last modified May 18 05:01 EDT 2021. Contains 343994 sequences. (Running on oeis4.)