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A197081 Number of partitions of n into distinct positive quarter-squares (cf. A002620).

%I A197081 #8 Jul 13 2013 12:04:17
%S A197081 1,1,1,1,1,1,2,2,1,2,2,2,3,3,2,3,4,3,4,4,4,5,6,5,4,6,6,7,7,7,7,9,10,8,
%T A197081 9,9,11,12,12,11,11,13,15,16,13,15,16,17,20,19,17,20,23,20,22,23,23,
%U A197081 27,29,26,25,30,31,32,34,33,32,38,41,37,39,41,42
%N A197081 Number of partitions of n into distinct positive quarter-squares (cf. A002620).
%H A197081 Reinhard Zumkeller, <a href="/A197081/b197081.txt">Table of n, a(n) for n = 0..555</a>
%e A197081 a(12) = #{12, 9+2+1, 6+4+2} = 3;
%e A197081 a(24) = #{20+4, 16+6+2, 12+9+2+1, 12+6+4+2} = 4.
%o A197081 (Haskell)
%o A197081 a197081 = p (drop 2 a002620_list) where
%o A197081    p _      0             = 1
%o A197081    p (k:ks) m | m < k     = 0
%o A197081               | otherwise = p ks (m - k) + p ks m
%Y A197081 Cf. A197122, A002378, A000290, A000009.
%K A197081 nonn
%O A197081 0,7
%A A197081 _Reinhard Zumkeller_, Oct 10 2011