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Search: id:A048736
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| A048736 |
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Dana Scott's sequence: a(n) = (a(n-2)+a(n-1)*a(n-3))/a(n-4). |
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+0
5
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| 1, 1, 1, 1, 2, 3, 5, 13, 22, 41, 111, 191, 361, 982, 1693, 3205, 8723, 15042, 28481, 77521, 133681, 253121, 688962, 1188083, 2249605, 6123133, 10559062, 19993321, 54419231, 93843471, 177690281, 483649942, 834032173, 1579219205, 4298430243
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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David Gale, "The strange and surprising saga of the Somos sequence", Mathematical Intelligencer 13(1) (1991), pp. 40-42.
D. Gale, Tracking the Automatic Ant and Other Mathematical Explorations, A Collection of Mathematical Entertainments Columns from The Mathematical Intelligencer, Springer, 1998, p. 4.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..500
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FORMULA
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a(n)=9*a(n-3)-a(n-6)-3-(0!=n%3), a(0)=a(1)=a(2)=a(3)=1, a(4)=2, a(5)=3 (from Michael Somos)
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CROSSREFS
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Cf. A006720, A006721, A006722, A006723.
Sequence in context: A087763 A104735 A061305 this_sequence A087898 A072537 A089477
Adjacent sequences: A048733 A048734 A048735 this_sequence A048737 A048738 A048739
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KEYWORD
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nonn,easy,nice
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AUTHOR
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David Johnson-Davies (David(AT)interface.co.uk)
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EXTENSIONS
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More terms from Michael Somos
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