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 A114164 Riordan array (1/(1-2x), x(1-x)/(1-2x)^2). 3
 1, 2, 1, 4, 5, 1, 8, 18, 8, 1, 16, 56, 41, 11, 1, 32, 160, 170, 73, 14, 1, 64, 432, 620, 377, 114, 17, 1, 128, 1120, 2072, 1666, 704, 164, 20, 1, 256, 2816, 6496, 6608, 3649, 1178, 223, 23, 1, 512, 6912, 19392, 24192, 16722, 7001, 1826, 291, 26, 1, 1024, 16640 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums are A081567. Diagonal sums are A085810. Product of Pascal triangle A007318 and Morgan-Voyce triangle A085478. Unsigned version of A123876. - Philippe Deléham, Oct 25 2007 LINKS FORMULA Number triangle T(n,k) = Sum_{j=0..n} C(n, j)*C(j+k, 2k); T(n,k) = Sum_{j=0..n} C(n, k+j)*C(k, k-j)*2^(n-k-j)}; T(n, k) = Sum_{j=0..n-k} C(n+k-j, n-k-j)*C(k, j)*(-1)^j*2^(n-k-j). T(n,k) = 4*T(n-1,k) + T(n-1,k-1) - 4*T(n-2,k) - T(n-2,k-1), T(0,0) = T(1,1) = 1, T(1,0) = 2, T(n,k) = 0 if k < 0 or if k > n. - Philippe Deléham, Jan 17 2014 EXAMPLE Triangle begins    1;    2,   1;    4,   5,   1;    8,  18,   8,  1;   16,  56,  41, 11,  1;   32, 160, 170, 73, 14, 1; CROSSREFS Sequence in context: A117317 A124237 A123876 * A176667 A126182 A154342 Adjacent sequences:  A114161 A114162 A114163 * A114165 A114166 A114167 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Nov 15 2005 STATUS approved

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Last modified May 7 16:00 EDT 2021. Contains 343652 sequences. (Running on oeis4.)