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Search: id:A064282
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| A064282 |
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Triangle with a(n,k)=C(3n+3,k)*(n-k+1)/(n+1). |
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+0
1
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| 1, 1, 3, 1, 6, 12, 1, 9, 33, 55, 1, 12, 63, 182, 273, 1, 15, 102, 408, 1020, 1428, 1, 18, 150, 760, 2565, 5814, 7752, 1, 21, 207, 1265, 5313, 15939, 33649, 43263, 1, 24, 273, 1950, 9750, 35880, 98670, 197340, 246675, 1, 27, 348, 2842, 16443, 71253, 237510
(list; table; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n, k)=a(n-1, k)+3*a(n-1, k-1)+3*a(n-1, k-2)+a(n-1, k-3) [starting with a(0, 0)=1 and a(n, k)=0 if n<0 or n<k].
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CROSSREFS
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Columns include A000012 and A008585. Right hand columns include A001764 and A006630. Row sums are A047099. Triangles A010054 (Triangle Indicator), A007318 (Pascal) and A050166 form a sequence which has this as its next member.
Sequence in context: A084536 A110770 A106855 this_sequence A087644 A049964 A051124
Adjacent sequences: A064279 A064280 A064281 this_sequence A064283 A064284 A064285
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Sep 24 2001
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