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Search: id:A141069
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| A141069 |
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List of different composites in Pascal-like triangle with indexof asymmetry (y=3) and index of obliquely (z=0 or z=1). |
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+0
1
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| 1, 4, 8, 16, 35, 60, 72, 116, 148, 224, 303, 308, 432, 618, 636, 833, 1257, 1313, 1314, 1606, 2550, 2709, 2715, 5160, 5584, 5609, 5968, 10418
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Pascal-like triangle with index of asymmetry (y=3) 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, n+1)=4, G(n+4, n+1)=8, G(n+5, k)=G(n+1,
k-1)+G(n+1,
k)+G(n+2, k)+G(n+3, k)+G(n+4, k) for k:=1..(n+1).
Pascal-like triangle with index of asymmetry(y=3) 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, 2)=4, G(n+4, 3)=8, G(n+5, k)=G(n+1, k-3)+G(n+1, k-4)+G(n+2,
k-3)+G(n+3,
k-2)+G(n+4, k-1) for k=4..(n+4).
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LINKS
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Juri-Stepan Gerasimov, Stepan's triangles and Pascal's triangle are connected by the recurrence relation ...
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EXAMPLE
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Pascal-like triangle (y=3, z=0) begins:
If 1, then a(1)=1.
If 1 1
1 2 1
1 4 2 1, then a(2)=4.
If 1 8 4 2 1, then a(3)=8.
If 1 16 8 4 2 1, then a(4)=16.
If 1 31 17 8 4 2 1
1 60 35 17 8 4 2 1, then a(5)=35 and a(6)=60.
If 1 116 72 35 17 8 4 2 1, then a(7)=72 and a(8)=116.
If 1 224 148 72 35 17 8 4 2 1, then a(9)=148 and a(10)=224.
If 1 432 303 149 72 35 17 8 4 2 1, then a(11)=303 etc.
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CROSSREFS
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Cf. A140998.
Sequence in context: A073856 A019458 A040014 this_sequence A144687 A065605 A065978
Adjacent sequences: A141066 A141067 A141068 this_sequence A141070 A141071 A141072
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KEYWORD
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nonn,uned
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 16 2008
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EXTENSIONS
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Partially edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 18 2008
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