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A341981 Number of partitions of n into 10 distinct primes (counting 1 as a prime). 4
1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 5, 0, 4, 0, 2, 0, 9, 0, 7, 1, 7, 1, 14, 0, 10, 0, 12, 2, 22, 0, 19, 2, 22, 3, 34, 1, 31, 4, 32, 5, 54, 3, 48, 7, 50, 9, 78, 7, 70, 11, 76, 16, 113, 9, 100, 19, 114, 26, 155, 17, 147, 32, 164, 37, 212, 26 (list; graph; refs; listen; history; text; internal format)
OFFSET

101,13

LINKS

Table of n, a(n) for n=101..174.

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, 11)

    end:

a:= n-> coeff(b(n, numtheory[pi](n)), x, 10):

seq(a(n), n=101..174);  # Alois P. Heinz, Feb 24 2021

CROSSREFS

Cf. A008578, A036497, A219204, A341972, A341973, A341974, A341975, A341976, A341977, A341978, A341979, A341980.

Sequence in context: A339012 A328766 A219203 * A226786 A266330 A320313

Adjacent sequences:  A341978 A341979 A341980 * A341982 A341983 A341984

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 24 2021

STATUS

approved

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Last modified September 24 06:13 EDT 2021. Contains 347623 sequences. (Running on oeis4.)