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Search: id:A114164
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| A114164 |
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Riordan array (1/(1-2x), x(1-x)/(1-2x)^2). |
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+0
4
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| 1, 2, 1, 4, 5, 1, 8, 18, 8, 1, 16, 56, 41, 11, 1, 32, 160, 170, 73, 14, 1, 64, 432, 620, 377, 114, 17, 1, 128, 1120, 2072, 1666, 704, 164, 20, 1, 256, 2816, 6496, 6608, 3649, 1178, 223, 23, 1, 512, 6912, 19392, 24192, 16722, 7001, 1826, 291, 26, 1, 1024, 16640
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A081567. Diagonal sums are A085810. Product of Pascal triangle A007318 and Morgan-Voyce triangle A085478.
Unsigned version of A123876 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 25 2007
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FORMULA
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Number triangle T(n, k)=sum{j=0..n, C(n, j)C(j+k, 2k)}; T(n, k)=sum{j=0..n, C(n, k+j)*C(k, k-j)2^(n-k-j)}; T(n, k)=sum{j=0..n-k, C(n+k-j, n-k-j)C(k, j)(-1)^j*2^(n-k-j)};
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EXAMPLE
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Triangle begins
1;
2,1;
4,5,1;
8,18,8,1;
16,56,41,11,1;
32,160,170,73,14,1;
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CROSSREFS
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Sequence in context: A117317 A124237 A123876 this_sequence A126182 A143494 A124960
Adjacent sequences: A114161 A114162 A114163 this_sequence A114165 A114166 A114167
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Nov 15 2005
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