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A341466 Number of partitions of n into 7 distinct nonprime parts. 8
1, 0, 1, 1, 2, 2, 4, 3, 6, 6, 9, 9, 14, 15, 21, 23, 30, 33, 43, 47, 61, 67, 81, 91, 112, 123, 150, 165, 194, 217, 255, 281, 330, 363, 417, 461, 529, 582, 665, 730, 823, 905, 1018, 1115, 1253, 1368, 1519, 1662, 1844, 2010, 2227, 2419, 2659, 2894, 3175, 3442 (list; graph; refs; listen; history; text; internal format)
OFFSET

50,5

LINKS

Table of n, a(n) for n=50..105.

MAPLE

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

      `if`(t=0, 1, 0), `if`(i<1 or t<1, 0, b(n, i-1, t)+

      `if`(isprime(i), 0, b(n-i, min(n-i, i-1), t-1))))

    end:

a:= n-> b(n$2, 7):

seq(a(n), n=50..105);  # Alois P. Heinz, Feb 12 2021

CROSSREFS

Cf. A005171, A018252, A096258, A219201, A302479, A341454, A341461, A341462, A341464, A341465, A341467.

Sequence in context: A090105 A082146 A037145 * A238790 A238787 A293170

Adjacent sequences:  A341463 A341464 A341465 * A341467 A341468 A341469

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 12 2021

STATUS

approved

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Last modified August 2 20:05 EDT 2021. Contains 346428 sequences. (Running on oeis4.)