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Search: id:A064671
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| A064671 |
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Number of n-digit base 4 biquanimous numbers (with leading 0's allowed, but not all-0 string). |
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+0
2
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| 0, 3, 18, 91, 420, 1829, 7686, 31623, 128520, 518665, 2084874, 8361995, 33497100, 134094861, 536608782, 2146926607, 8588754960, 34357248017, 137433710610, 549744803859, 2199000186900, 8796044787733, 35184271425558
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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A number is biquanimous (A064544) if its digits can be split into two sets with the same sum - David W. Wilson, SeqFan memo, Oct 08 2001.
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FORMULA
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Conjecture: G.f.:(x*(16*x^3-22*x^2+12*x-3))/((-1+4*x)*(2*x-1)^2*(x-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]
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CROSSREFS
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Sequence in context: A088336 A133594 A092691 this_sequence A058409 A125833 A129547
Adjacent sequences: A064668 A064669 A064670 this_sequence A064672 A064673 A064674
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KEYWORD
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nonn,base
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Oct 09 2001
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EXTENSIONS
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More terms from Christian G. Bower (bowerc(AT)usa.net), Oct 12 2001
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