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Search: id:A025065
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| A025065 |
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Number of palindromic partitions of n. |
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+0
1
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| 1, 2, 2, 4, 4, 7, 7, 12, 12, 19, 19, 30, 30, 45, 45, 67, 67, 97, 97, 139, 139, 195, 195, 272, 272, 373, 373, 508, 508, 684, 684, 915, 915, 1212, 1212, 1597, 1597, 2087, 2087, 2714, 2714, 3506, 3506, 4508, 4508, 5763, 5763, 7338, 7338, 9296, 9296, 11732, 11732, 14742, 14742
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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That is, the number of partitions of n into parts which can be listed in palindromic order.
Alternatively, number of partitions of n into parts from the set {1,2,4,6,8,10,12,...}. - T. D. Noe (noe(AT)sspectra.com), Aug 05 2005
Also, partial sums of A035363.
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EXAMPLE
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The partitions for the first few values of n are as follows:
n: partitions .......................... number
1: 1 ................................... 1
2: 2 11 ................................ 2
3: 3 111 ............................... 2
4: 4 22 121 1111 ....................... 4
5: 5 131 212 11111 ..................... 4
6: 6 141 33 222 1221 11211 111111 ...... 7
7: 7 151 313 11311 232 21112 1111111 ... 7
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CROSSREFS
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Sequence in context: A099383 A064410 A062896 this_sequence A131524 A089075 A011142
Adjacent sequences: A025062 A025063 A025064 this_sequence A025066 A025067 A025068
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 29 2007
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