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A054241
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Number of partitions of bit-interleaved numbers; partitions of n in base sqrt(2).
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0
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1, 1, 1, 2, 2, 3, 4, 7, 2, 4, 3, 7, 9, 16, 16, 31, 5, 7, 12, 19, 11, 15, 30, 45, 29, 47, 57, 97, 77, 118, 162, 257, 5, 12, 7, 19, 29, 57, 47, 97, 11, 30, 15, 45, 77, 162, 118, 257, 109, 189, 189, 339, 323, 522, 589, 975, 323, 589, 522, 975, 1043, 1752, 1752
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OFFSET
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0,4
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COMMENTS
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Rearrangement of A054225 via A054238. Also can be directly derived from A054240 (bit-interleaved addition table).
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LINKS
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FORMULA
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EXAMPLE
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a(6)=4 thus: {6, 4+2, 3+1, 2+1+1} all in base sqrt(2).
a(12)=9 from {12, 9+1, 8+4, 8+1+1, 6+2, 4+2+2, 3+3, 3+2+1, 2+2+1+1}.
a(13)=16 from {13, 12+1, 9+4, 9+1+1, 8+5, 8+4+1, 8+1+1+1, 7+2, 6+3, 6+2+1, 5+2+2, 4+3+2, 4+2+2+1, 3+3+1, 3+2+1+1, 2+2+1+1+1}.
(End)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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