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Search: id:A100538
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| A100538 |
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Volume of the 3-dimensional box of sides of length equal to consecutive Padovan numbers (A000931). These boxes form a spiral in three dimensions similar to the spiral of fibonacci boxes in two dimensions. |
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+0
1
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| 1, 2, 4, 12, 24, 60, 140, 315, 756, 1728, 4032, 9408, 21756, 50764
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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I. Stewart, Tales of a Neglected Number
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FORMULA
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For large n a(n+1) -> a(n) * p^3 where p is the plastic number = 1.324718... a(n+1) = a(n)+ (a(n)/P(n))*P(n+1 ) where P are the Padovan numbers (A000931) starting 1, 1, 1, 2, 2, 3, 4, 5, 7 etc
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CROSSREFS
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Sequence in context: A045687 A057422 A036045 this_sequence A135139 A161894 A062177
Adjacent sequences: A100535 A100536 A100537 this_sequence A100539 A100540 A100541
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KEYWORD
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nonn
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AUTHOR
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John Lien (jtlien(AT)sbcglobal.net), Nov 27 2004
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