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A128417
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Number triangle T(n,k)=2^(n-k)*C(2n,n-k).
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4
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1, 4, 1, 24, 8, 1, 160, 60, 12, 1, 1120, 448, 112, 16, 1, 8064, 3360, 960, 180, 20, 1, 59136, 25344, 7920, 1760, 264, 24, 1, 439296, 192192, 64064, 16016, 2912, 364, 28, 1, 3294720, 1464320
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Inverse of A128414. Row sums are A128418. Diagonal sums are A128419.
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FORMULA
| Riordan array (1/sqrt(1-8x),(1-4x-sqrt(1-8x)/(8x)); T(n,k)=2^(n-k)*A094527(n,k).
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EXAMPLE
| 1,
4, 1,
24, 8, 1,
160, 60, 12, 1,
1120, 448, 112, 16, 1,
8064, 3360, 960, 180, 20, 1,
59136, 25344, 7920, 1760, 264, 24, 1,
439296, 192192, 64064, 16016, 2912, 364, 28, 1
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MATHEMATICA
| Flatten[Table[2^(n-k) Binomial[2n, n-k], {n, 0, 10}, {k, 0, n}]] (* From Harvey P. Dale, Nov 02 2011 *)
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CROSSREFS
| Cf. A128413.
Sequence in context: A057869 A166027 A158978 * A183875 A136232 A079621
Adjacent sequences: A128414 A128415 A128416 * A128418 A128419 A128420
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 02 2007
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