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A197122
Number of partitions of n into positive quarter-squares (cf. A002620).
4
1, 1, 2, 2, 4, 4, 7, 7, 11, 12, 17, 18, 26, 28, 37, 40, 53, 57, 74, 79, 101, 109, 136, 145, 181, 195, 237, 255, 308, 332, 397, 427, 506, 546, 641, 688, 807, 868, 1007, 1081, 1250, 1342, 1544, 1655, 1893, 2033, 2313, 2477, 2812, 3015, 3403, 3644, 4102, 4390
OFFSET
0,3
LINKS
EXAMPLE
a(10) = #{9+1, 6+4, 6+2+2, 6+2+1+1, 6+1+1+1+1, 4+4+2, 4+4+1+1, 4+2+2+2, 4+2+2+1+1, 4+2+1+1+1+1, 4+6x1, 2+2+2+2+2, 2+2+2+2+1+1, 2+2+2+1+1+1+1, 2+2+6x1, 2+8x1, 10x1} = 17.
PROG
(Haskell)
a197122 = p (drop 2 a002620_list) where
p _ 0 = 1
p ks'@(k:ks) m | m < k = 0
| otherwise = p ks' (m - k) + p ks m
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Oct 10 2011
STATUS
approved

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