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A199123
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Number of partitions of n into distinct terms of (2,3)-Ulam sequence, cf. A001857.
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6
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1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 3, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 8, 8, 9, 11, 10, 12, 14, 12, 17, 16, 17, 22, 19, 24, 25, 25, 30, 30, 33, 37, 37, 42, 45, 46, 52, 54, 57, 64, 66, 69, 79, 76, 87, 93, 91, 109, 105, 115, 126, 123, 140, 144, 151, 166, 169, 180, 193
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OFFSET
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0,6
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LINKS
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Table of n, a(n) for n=0..67.
Eric Weisstein's World of Mathematics, Ulam Sequence
Wikipedia, Ulam number
Index entries for Ulam numbers
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EXAMPLE
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The first terms of A001857 are 2, 3, 5, 7, 8, 9, 13, 14, 18, 19, 24, ...
a(20) = #{18+2, 13+7, 13+5+2, 9+8+3, 8+7+5, 8+7+3+2} = 6;
a(21) = #{19+2, 18+3, 14+7, 14+5+2, 13+8, 13+5+3, 9+7+5, 9+7+3+2} = 8.
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PROG
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(Haskell)
a199123 = p a001857_list where
p _ 0 = 1
p (u:us) m | m < u = 0
| otherwise = p us (m - u) + p us m
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CROSSREFS
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Cf. A000586; A199122, A199017, A199119, A199121.
Sequence in context: A036461 A244478 A261153 * A207944 A063088 A101276
Adjacent sequences: A199120 A199121 A199122 * A199124 A199125 A199126
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller, Nov 03 2011
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STATUS
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approved
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