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Search: id:A147706
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| A147706 |
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Number of partitions of n into parts having distinct digital roots (A010888). |
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+0
11
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| 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 11, 15, 16, 20, 25, 28, 32, 39, 46, 50, 62, 66, 78, 93, 101, 112, 132, 150, 161, 192, 202, 232, 268, 287, 312, 361, 400, 425, 497, 516, 582, 658, 698, 748, 858, 932, 982, 1135, 1164, 1296, 1443, 1519, 1610, 1845, 1968, 2059, 2360, 2395
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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a(n) <= A000009(n).
Likely a duplicate of A114098. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 13 2008]
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EXAMPLE
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A000009(16) = 32, in which the following 4 partitions
contain parts with common digital roots:
12 + 3 + 1, 11 + 3 + 2, 10 + 5 + 1 and 10 + 3 + 2 + 1,
therefore a(16) = 32 - 4 = 28.
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CROSSREFS
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A114102, A116371, A116372, A116373, A116374, A116375, A116376, A116377, A116378, A114099.
Sequence in context: A008674 A067596 A114098 this_sequence A034141 A055002 A114097
Adjacent sequences: A147703 A147704 A147705 this_sequence A147707 A147708 A147709
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KEYWORD
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base,nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 11 2008
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