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 A110510 Riordan array (1, x*c(2x)), c(x) the g.f. of A000108. 5
 1, 0, 1, 0, 2, 1, 0, 8, 4, 1, 0, 40, 20, 6, 1, 0, 224, 112, 36, 8, 1, 0, 1344, 672, 224, 56, 10, 1, 0, 8448, 4224, 1440, 384, 80, 12, 1, 0, 54912, 27456, 9504, 2640, 600, 108, 14, 1, 0, 366080, 183040, 64064, 18304, 4400, 880, 140, 16, 1, 0, 2489344, 1244672, 439296 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are C(2;n), A064062. Inverse is A110509. Diagonal sums are A108308. [Corrected by Philippe Deléham, Nov 09 2007] Triangle T(n,k), 0 <= k <= n, read by rows, given by (0, 2, 2, 2, 2, 2, 2, 2, ...) DELTA (1, 0, 0, 0, 0, 0, 0, 0, ...) where DELTA is the operator defined in A084938. - Philippe Deléham, Sep 23 2014 LINKS G. C. Greubel, Table of n, a(n) for the first 50 rows, fattened FORMULA Number triangle: T(0,k) = 0^k, T(n,k) = (k/n)*C(2n-k-1, n-k)*2^(n-k), n, k > 0. T(n,k) = A106566(n,k)*2^(n-k). - Philippe Deléham, Nov 08 2007 EXAMPLE Rows begin   1;   0,   1;   0,   2,   1;   0,   8,   4,   1;   0,  40,  20,   6,   1;   0, 224, 112,  36,   8,   1;   ... Production matrix begins:   0,  1;   0,  2,  1;   0,  4,  2,  1;   0,  8,  4,  2,  1;   0, 16,  8,  4,  2,  1;   0, 32, 16,  8,  4,  2,  1;   0, 64, 32, 16,  8,  4,  2,  1;   ... - Philippe Deléham, Sep 23 2014 MATHEMATICA T[n_, k_] := (k/n)*Binomial[2*n - k - 1, n - k]*2^(n - k); Join[{1}, Table[T[n, k], {n, 1, 10}, {k, 0, n}]] // Flatten (* G. C. Greubel, Aug 29 2017 *) PROG (PARI) concat([1], for(n=1, 25, for(k=0, n, print1((k/n)*binomial(2*n-k-1, n-k)*2^(n-k), ", ")))) \\ G. C. Greubel, Aug 29 2017 CROSSREFS Sequence in context: A075615 A195284 A076341 * A051122 A266042 A202817 Adjacent sequences:  A110507 A110508 A110509 * A110511 A110512 A110513 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Jul 24 2005 STATUS approved

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Last modified October 23 03:21 EDT 2018. Contains 316519 sequences. (Running on oeis4.)