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Search: id:A155998
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| A155998 |
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Triangle read by rows: t0(n,m)=(Binomial[n, m] -(-1)^m*Binomial[n, m])/2; t(n,m)=t(n,m)+t0(n,n-m). |
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+0
1
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| 0, 1, 1, 0, 4, 0, 1, 3, 3, 1, 0, 8, 0, 8, 0, 1, 5, 10, 10, 5, 1, 0, 12, 0, 40, 0, 12, 0, 1, 7, 21, 35, 35, 21, 7, 1, 0, 16, 0, 112, 0, 112, 0, 16, 0, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 0, 20, 0, 240, 0, 504, 0, 240, 0, 20, 0
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Row sums are:
{0, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024,...}
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FORMULA
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t0(n,m)=(Binomial[n, m] -(-1)^m*Binomial[n, m])/2;
t(n,m)=t(n,m)+t0(n,n-m).
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EXAMPLE
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{0},
{1, 1},
{0, 4, 0},
{1, 3, 3, 1},
{0, 8, 0, 8, 0},
{1, 5, 10, 10, 5, 1},
{0, 12, 0, 40, 0, 12, 0},
{1, 7, 21, 35, 35, 21, 7, 1},
{0, 16, 0, 112, 0, 112, 0, 16, 0},
{1, 9, 36, 84, 126, 126, 84, 36, 9, 1},
{0, 20, 0, 240, 0, 504, 0, 240, 0, 20, 0}
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MATHEMATICA
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Clear[t, n, m];
t[n_, m_] = (Binomial[n, m] - (-1)^m*Binomial[n, m])/2;
Table[Table[t[n, m] + t[n, n - m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
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CROSSREFS
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Sequence in context: A071637 A141277 A096793 this_sequence A127538 A096008 A122873
Adjacent sequences: A155995 A155996 A155997 this_sequence A155999 A156000 A156001
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 01 2009
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