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A319439
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Number of ways to write n as the sum, u + v + w, of three base-2 palindromes (from A006995) with 0 <= u <= v <= w.
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1
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1, 1, 1, 2, 1, 2, 2, 3, 2, 4, 3, 4, 2, 4, 2, 6, 2, 6, 3, 6, 2, 7, 3, 7, 3, 7, 2, 9, 2, 7, 3, 9, 3, 10, 4, 10, 4, 11, 3, 12, 2, 11, 3, 11, 1, 12, 2, 10, 4, 11, 2, 14, 3, 11, 4, 13, 1, 13, 2, 11, 3, 12, 2, 15, 2, 13, 5, 14, 3, 17, 2, 13, 4, 15, 2, 17, 2, 12, 4, 15
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OFFSET
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0,4
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COMMENTS
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Every number n can be written as the sum of four base-2 palindromes.
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LINKS
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EXAMPLE
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a(13) = 4 because 13 can be written as the sum of three base-2 palindromes in four different ways:
13 = 5 + 5 + 3 = 101_2 + 101_2 + 11_2,
13 = 7 + 3 + 3 = 111_2 + 11_2 + 11_2,
13 = 7 + 5 + 1 = 111_2 + 101_2 + 1_2, and
13 = 9 + 3 + 1 = 1001_2 + 11_2 + 1_2.
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PROG
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(PARI) See Links section.
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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