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Search: id:A014644
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| A014644 |
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Form array starting with {1,1}; then i-th term in a row gives number of i's in next row; sequence is formed from final term in each row. |
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5
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| 1, 2, 2, 3, 5, 11, 38, 272, 6474, 1090483, 4363282578, 2940715000315189, 7930047000157075949085439, 14412592242471457956514645440241289655074, 70636608026754077888330819116433040562582634705380432362008848092
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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log a(n) grows like constant times phi^n, phi = Golden ratio (clm).
a(n) converges to a(n-2)*a(n-1)*phi (within 6 decimals for a[15]) - Johan Claes (Johan.Claes(AT)UHasselt.be), Oct 02 2005
Limit n --> infty a(n+2)/a(n+1)/a(n)=1/Phi. - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 13 2005
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EXAMPLE
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a[5]=5 because 5 is the last number of the 5th row of A014643 (1,2,2,3,3,4,4,4,5,5,5)
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CROSSREFS
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Cf. A014643, A011784.
Adjacent sequences: A014641 A014642 A014643 this_sequence A014645 A014646 A014647
Sequence in context: A078445 A127166 A005426 this_sequence A089541 A065843 A111264
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KEYWORD
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nonn,nice
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AUTHOR
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njas
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EXTENSIONS
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a(1)..a(11) computed by Colin Mallows (colinm(AT)research.avayalabs.com).
a(12)..a(15) computed by Johan Claes (Johan.Claes(AT)UHasselt.be) Oct 02 2005
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