# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a285799 Showing 1-1 of 1 %I A285799 #10 Dec 10 2020 14:52:05 %S A285799 1,0,1,1,2,2,3,4,6,7,9,12,15,19,23,29,37,44,54,66,80,96,115,138,165, %T A285799 196,231,275,322,380,444,520,608,706,821,952,1102,1272,1467,1688,1941, %U A285799 2226,2549,2917,3329,3798,4324,4918,5587,6337,7180,8125,9184,10369,11695,13174,14828,16671,18723,21011,23551 %N A285799 Number of partitions of n into parts with an odd number of distinct prime divisors. %H A285799 Alois P. Heinz, Table of n, a(n) for n = 0..10000 %H A285799 Index entries for related partition-counting sequences %F A285799 G.f.: Product_{k>=1} 1/(1 - x^A030230(k)). %e A285799 a(7) = 4 because we have [7], [5, 2], [4, 3] and [3, 2, 2]. %t A285799 nmax = 60; CoefficientList[Series[Product[1/(1 - Boole[OddQ[PrimeNu[k]]] x^k), {k, 1, nmax}], {x, 0, nmax}], x] %Y A285799 Cf. A001156 (number of partitions into parts with an odd number of divisors), A030230, A285798. %K A285799 nonn %O A285799 0,5 %A A285799 _Ilya Gutkovskiy_, Apr 26 2017 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE