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Search: id:A086614
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| A086614 |
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Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x)^2 + xy*f(x,y)^2. |
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+0
3
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| 1, 2, 1, 3, 4, 2, 4, 10, 12, 5, 5, 20, 42, 40, 14, 6, 35, 112, 180, 140, 42, 7, 56, 252, 600, 770, 504, 132, 8, 84, 504, 1650, 3080, 3276, 1848, 429, 9, 120, 924, 3960, 10010, 15288, 13860, 6864, 1430, 10, 165, 1584, 8580, 28028, 57330, 73920, 58344, 25740
(list; table; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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Rows:
{1},
{2,1},
{3,4,2},
{4,10,12,5},
{5,20,42,40,14},
{6,35,112,180,140,42},
{7,56,252,600,770,504,132},
{8,84,504,1650,3080,3276,1848,429}, ...
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CROSSREFS
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Cf. A086615 (antidiagonal sums), A086616 (row sums), A086617.
Sequence in context: A128544 A120058 A102756 this_sequence A108959 A107893 A131987
Adjacent sequences: A086611 A086612 A086613 this_sequence A086615 A086616 A086617
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jul 24 2003
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