

A341140


Number of partitions of n into 3 distinct prime powers (including 1).


8



1, 1, 2, 2, 3, 3, 5, 5, 7, 6, 8, 7, 8, 8, 10, 10, 12, 11, 12, 12, 13, 12, 16, 15, 15, 16, 18, 17, 19, 20, 21, 24, 22, 22, 23, 25, 22, 27, 26, 25, 26, 29, 25, 31, 27, 30, 31, 34, 26, 34, 31, 35, 32, 38, 29, 40, 32, 36, 34, 41, 29, 44, 35, 41, 36, 47, 34, 51, 38, 45, 41, 54
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OFFSET

6,3


LINKS

Table of n, a(n) for n=6..77.


MAPLE

q:= proc(n) option remember; nops(ifactors(n)[2])<2 end:
b:= proc(n, i, t) option remember; `if`(n=0,
`if`(t=0, 1, 0), `if`(i<1 or t<1, 0, b(n, i1, t)+
`if`(q(i), b(ni, min(ni, i1), t1), 0)))
end:
a:= n> b(n$2, 3):
seq(a(n), n=6..77); # Alois P. Heinz, Feb 05 2021


CROSSREFS

Cf. A000961, A010055, A282064, A307727, A307825, A341112, A341132, A341141, A341142, A341143, A341144, A341145.
Sequence in context: A179254 A304430 A086609 * A340285 A341462 A035031
Adjacent sequences: A341137 A341138 A341139 * A341141 A341142 A341143


KEYWORD

nonn


AUTHOR

Ilya Gutkovskiy, Feb 05 2021


STATUS

approved



