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Search: id:A141017
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| A141017 |
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List of largest numbers of triangles with index of asymmetry (y=1) and index of obliqueness (z=0 or z=1). |
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1
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| 1, 1, 2, 4, 7, 12, 23, 46, 89, 168, 311, 594, 1194, 2355, 4570, 8745, 16532, 32948, 65761, 129632, 252697, 487647, 936785, 1884892, 3754166, 7407451, 14489982, 28118751
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Triangle with index of asymmetry (y=1) and index of obliqueness (z=0) read by rows with recurence G(n,k): G(n,0)=G(n+1,n+1)=1, G(n+2, n+1)=2, G(n+3, k)=G(n+1, k-1)+G(n+1, k)+G(n+2, k) for k:=1..(n+1).
Triangle with index of asymmetry (y=1) and index of obliqueness (z=1) read by rows with recurence G(n,k): G(n, n)=G(n+1, 0)=1, G(n+2, 1)=2, G(n+3, k)=G(n+1, k-1)+G(n+1, k-2)+G(n+1, k-1) for k=2..(n+2).
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EXAMPLE
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Triangle (y=1, z=1) begins:
If 1, then largest number a(1)=1
If 1 1, then largest number a(2)=1
If 1 2 1, then largest number a(3)=2
If 1 4 2 1, then largest number a(4)=4
If 1 7 5 2 1, then largest number a(5)=7
If 1 12 11 5 2 1, then largest number a(6)=12
If 1 20 23 12 5 2 1, then largest number a(7)=23
If 1 33 46 28 12 5 2 1, then largest number a(8)=46
If 1 54 89 63 29 12 5 2 1, then largest number a(9)=89
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CROSSREFS
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Cf. A007318.
Adjacent sequences: A141014 A141015 A141016 this_sequence A141018 A141019 A141020
Sequence in context: A054171 A018080 A018181 this_sequence A027945 A079800 A094271
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 11 2008
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EXTENSIONS
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a(4) and offset corrected by Gary Adamson, Jul 11 2008
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