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Search: id:A114096
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| A114096 |
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Number of partitions of n into parts that are distinct mod 8. |
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+0
1
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| 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 12, 13, 16, 20, 23, 26, 31, 37, 42, 47, 54, 65, 72, 80, 90, 108, 115, 129, 145, 168, 184, 200, 220, 259, 270, 301, 336, 375, 411, 436, 477, 546, 568, 631, 700, 755, 832, 862, 945, 1050
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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a(7)=5 because there are 5 such partition of 7: {7}, {1,6}, {2,5}, {3,4}, {4,2,1}.
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MATHEMATICA
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<< DiscreteMath`Combinatorica`; np[n_]:= Length@Select[Mod[ #, 8]& /@ Partitions[n], (Length@# != Length@Union@#)&]; lst = Array[np, 50]
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CROSSREFS
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Sequence in context: A153156 A017852 A029013 this_sequence A008582 A069911 A027196
Adjacent sequences: A114093 A114094 A114095 this_sequence A114097 A114098 A114099
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KEYWORD
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nonn
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AUTHOR
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Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 06 2006
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