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Search: id:A039913
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| A039913 |
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Triangular "Fibonacci array". |
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+0
4
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| 0, 1, 1, 1, 2, 1, 2, 3, 3, 2, 3, 5, 4, 5, 3, 5, 8, 7, 7, 8, 5, 8, 13, 11, 12, 11, 13, 8, 13, 21, 18, 19, 19, 18, 21, 13, 21, 34, 29, 31, 30, 31, 29, 34, 21, 34, 55, 47, 50, 49, 49, 50, 47, 55, 34, 55, 89, 76, 81, 79, 80, 79, 81, 76, 89, 55, 89, 144, 123, 131, 128, 129, 129, 128
(list; table; graph; listen)
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OFFSET
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0,5
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REFERENCES
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L. Carlitz, A Fibonacci array, Fib. Quart. 1(#2) (1963), 217-28.
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FORMULA
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a(0, n)=Fib(n), a(1, n)=Fib(n+2), a(r, n)=a(r-1, n)+a(r-2, n), r >= 2.
G.f.: (x+y)/((1-x-x^2)*(1-y-y^2)). [U coordinates]
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EXAMPLE
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0; 1 1; 1 2 1; 2 3 3 2; 3 5 4 5 3; ...
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CROSSREFS
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Cf. A108035.
Sequence in context: A033767 A033775 A033791 this_sequence A108617 A092683 A057475
Adjacent sequences: A039910 A039911 A039912 this_sequence A039914 A039915 A039916
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KEYWORD
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tabl,nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Sep 28 2000
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