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Search: id:A059922
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| A059922 |
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Each term in the table is the product of the two terms above it + 1. |
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+0
6
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| 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 10, 4, 1, 1, 5, 41, 41, 5, 1, 1, 6, 206, 1682, 206, 6, 1, 1, 7, 1237, 346493, 346493, 1237, 7, 1, 1, 8, 8660, 428611842, 120057399050, 428611842, 8660, 8, 1, 1, 9, 69281, 3711778551721, 51458022952549550101, 51458022952549550101, 3711778551721, 69281, 9, 1
(list; table; graph; listen)
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OFFSET
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0,5
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LINKS
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S. Kak, The Golden Mean and the Physics of Aesthetics
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FORMULA
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a(m, n) = a(m-1, n-1)*a(m-1, n)+1, a(0, 0) = 1, a(m, n) = 0 iff n>m or n<0.
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EXAMPLE
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1; 1,1; 1,2,1; 1,3,3,1; 1,4,10,4,1; ...
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MAPLE
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aaa := proc(m, n) option remember; if n>m or n<0 then 0; elif m=0 and n=0 then 1; else aaa(m-1, n-1)*aaa(m-1, n)+1; fi; end;
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CROSSREFS
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Cf. A007318, A059730 - A059733.
Sequence in context: A125806 A099597 A123610 this_sequence A137896 A054450 A053538
Adjacent sequences: A059919 A059920 A059921 this_sequence A059923 A059924 A059925
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KEYWORD
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easy,nice,nonn,tabl
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AUTHOR
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Fabian Rothelius (fabian.rothelius(AT)telia.com), Feb 09 2001
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EXTENSIONS
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More terms from njas and Larry Reeves, Feb 09 2001.
Corrected by Jonathan Wellons (wellons(AT)gmail.com), May 24 2008
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