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Search: id:A086626
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| A086626 |
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Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (1-xy)/[(1-x)(1-y)] + xy*f(x,y)^3. |
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+0
3
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| 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 6, 9, 6, 1, 1, 10, 24, 24, 10, 1, 1, 15, 57, 84, 57, 15, 1, 1, 21, 120, 249, 249, 120, 21, 1, 1, 28, 228, 654, 907, 654, 228, 28, 1, 1, 36, 399, 1554, 2880, 2880, 1554, 399, 36, 1, 1, 45, 654, 3384, 8178, 10821, 8178, 3384, 654, 45, 1, 1, 55
(list; table; graph; listen)
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OFFSET
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0,8
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EXAMPLE
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Rows begin:
1,_1,__1,___1,____1,_____1,_____1,______1, ...
1,_1,__3,___6,___10,____15,____21,_____28, ...
1,_3,__9,__24,___57,___120,___228,____399, ...
1,_6,_24,__84,__249,___654,__1554,___3384, ...
1,10,_57,_249,__907,__2880,__8178,__21156, ...
1,15,120,_654,_2880,_10821,_35949,_107952, ...
1,21,228,1554,_8178,_35949,137832,_473331, ...
1,28,399,3384,21156,107952,473331,1840560, ...
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CROSSREFS
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Cf. A086627 (diagonal), A086628 (antidiagonal sums).
Sequence in context: A034871 A015109 A157636 this_sequence A144163 A080858 A144228
Adjacent sequences: A086623 A086624 A086625 this_sequence A086627 A086628 A086629
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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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