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A067593
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Number of partitions of n into Lucas parts (A000032).
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0
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1, 1, 2, 3, 5, 6, 9, 12, 16, 20, 26, 33, 41, 50, 62, 75, 90, 107, 129, 151, 178, 208, 244, 281, 326, 375, 431, 491, 561, 638, 723, 816, 922, 1037, 1163, 1302, 1458, 1624, 1808, 2009, 2231, 2467, 2729, 3012, 3321, 3651, 4014, 4406
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| G.f.=1/[(1-x^2)*product(1-x^(fibonacci(i-1)+fibonacci(i+1)), i=1..infinity)]. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2005
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EXAMPLE
| a(5)=6 because we have 4+1, 3+2, 3+1+1, 2+2+1, 2+1+1+1 and 1+1+1+1+1.
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CROSSREFS
| Sequence in context: A126785 A026317 A008768 * A084993 A046966 A035948
Adjacent sequences: A067590 A067591 A067592 * A067594 A067595 A067596
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KEYWORD
| easy,nonn
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AUTHOR
| Naohiro Nomoto (n_nomoto(AT)yabumi.com), Jan 31 2002
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