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Search: id:A140997
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| A140997 |
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Triangle G(n,k) read by rows: G(n, 0)=G(n, n)=1, G(n, n-1)=2, G(n, n-2)=4. Recurrence G(n, k)=G(n-1, k)+G(n-2, k)+G(n-3, k)+ G(n-3, k-1), for k:=1..n-3. |
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+0
2
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| 1, 1, 1, 1, 2, 1, 1, 4, 2, 1, 1, 8, 4, 2, 1, 1, 15, 9, 4, 2, 1, 1, 28, 19, 9, 4, 2, 1, 1, 2, 52, 40, 19, 9, 4, 2, 1, 1, 96, 83, 41, 19, 9, 4, 2, 1, 1, 177, 170, 88, 41, 19, 9, 4, 2, 1, 1, 326, 345, 188, 88, 41, 19, 9, 4, 2, 1, 1, 600, 694, 400, 189, 88, 41, 19, 9, 4, 2, 1, 1
(list; table; graph; listen)
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OFFSET
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0,5
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EXAMPLE
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Triangle begins:
1
1 1
1 2 1
1 4 2 1
1 8 4 2 1
1 15 9 4 2 1
1 28 19 9 4 2 1
1 52 40 19 9 4 2 1
1 96 83 41 19 9 4 2 1
1 177 170 88 41 19 9 4 2 1
1 326 345 188 88 41 19 9 4 2 1
1 600 694 400 189 88 41 19 9 4 2 1
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CROSSREFS
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Cf. A007318.
Sequence in context: A048004 A114394 A059623 this_sequence A140996 A141020 A152568
Adjacent sequences: A140994 A140995 A140996 this_sequence A140998 A140999 A141000
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KEYWORD
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nonn,tabl
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 08 2008
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EXTENSIONS
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Typo in definition corrected by R. J. Mathar, Sep 19 2008
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