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A110681
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A convolution triangle of numbers based on A071356.
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0
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1, 2, 1, 6, 4, 1, 20, 16, 6, 1, 72, 64, 30, 8, 1, 272, 260, 140, 48, 10, 1, 1064, 1072, 636, 256, 70, 12, 1, 4272, 4480, 2856, 1288, 420, 96, 14, 1, 17504, 18944, 12768, 6272, 2320, 640, 126, 16, 1, 72896, 80928, 57024, 29952, 12192, 3852, 924, 160, 18, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| T(0, 0) = 1; T(n, k) = 0 if k<0 or if k>n; T(n, k) = T(n-1, k-1) + 2*T(n-1, k) + 2*T(n-1, k+1) . Sum_{k, k>=0} T(m, k)*T(n, k)*2^k = T(m+n, 0) = A071356(m+n) . Sum_{k, k>=0} T(n, k)*(2^(k+1) - 1) = 5^n . Sum_{k, k>=0} (-1)^(n-k)*T(n, k)*(2^(k+1) - 1) = 1.
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CROSSREFS
| Columns: A071356, A071357; diagonal sums: see A052705.
Sequence in context: A125693 A094527 A054335 * A117852 A080245 A080247
Adjacent sequences: A110678 A110679 A110680 * A110682 A110683 A110684
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KEYWORD
| nonn,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 14 2005
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