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A066882
Number of partitions of n into prime divisors of n.
11
1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 2, 1, 1, 4, 1, 3, 2, 2, 1, 5, 1, 2, 1, 3, 1, 21, 1, 1, 2, 2, 2, 7, 1, 2, 2, 5, 1, 28, 1, 3, 4, 2, 1, 9, 1, 6, 2, 3, 1, 10, 2, 5, 2, 2, 1, 71, 1, 2, 4, 1, 2, 42, 1, 3, 2, 43, 1, 13, 1, 2, 6, 3, 2, 49, 1, 9, 1, 2, 1, 97, 2, 2, 2, 5, 1, 151, 2, 3, 2, 2, 2, 17, 1, 8
OFFSET
0,7
LINKS
FORMULA
Coefficient of x^n in expansion of 1/Product_{d is prime divisor of n} (1-x^d). - Vladeta Jovovic, Apr 11 2004
MAPLE
with(numtheory):
a:= proc(n) local b, l; l:= sort([factorset(n)[]]):
b:= proc(m, i) option remember; `if`(m=0, 1, `if`(i<1, 0,
b(m, i-1)+`if`(l[i]>m, 0, b(m-l[i], i))))
end; forget(b):
b(n, nops(l))
end:
seq(a(n), n=0..100); # Alois P. Heinz, Feb 05 2014
MATHEMATICA
a[0] = 1; a[n_] := SeriesCoefficient[1/Product[1-x^d, {d, FactorInteger[n][[All, 1]]}], {x, 0, n}]; Table[a[n], {n, 0, 100}] (* Jean-François Alcover, Jul 30 2015, after Vladeta Jovovic *)
CROSSREFS
Main diagonal of A107329 (for n>=1).
Sequence in context: A324837 A285572 A179926 * A300831 A068347 A284556
KEYWORD
easy,nonn,look
AUTHOR
Naohiro Nomoto, Jan 26 2002
EXTENSIONS
More terms from Sascha Kurz, Mar 23 2002
Corrected by Vladeta Jovovic, Apr 11 2004
STATUS
approved