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 A153342 Binomial transform of triangle A046854 (shifted). 3
 1, 2, 0, 4, 1, 0, 8, 4, 1, 0, 16, 12, 5, 1, 0, 32, 32, 18, 6, 1, 0, 64, 80, 56, 25, 7, 1, 0, 128, 192, 160, 88, 33, 8, 1, 0, 256, 448, 432, 280, 129, 42, 9, 1, 0, 512, 1024, 1120, 832, 450, 180, 52, 10, 1, 0, 1024, 2304, 2816, 2352, 1452, 681, 242, 63, 11, 1, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums = odd indexed Fibonacci numbers. Mirror image of triangle in A121462. - Philippe Deléham, Dec 31 2008 Triangle T(n,k), 0 <= k <= n, read by rows given by [2,0,0,0,0,0,0,0,0,0,0,0,...] DELTA [0,1/2,1/2,0,0,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. - Philippe Deléham, Jan 01 2009 LINKS FORMULA Triangle read by rows, A007318 * A046854 (shifted down 1 row, inserting a "1" at (0,0). G.f.: (1-y*x)/(1-2*x-y*x+y*x^2). - Philippe Deléham, Mar 27 2012 T(n,k) = 2*T(n-1,l) + T(n-1,k-1) - T(n-2,k-1), T(0,0) = 1, T(1,0) = 2, T(1,1) = 0 and T(n,k) = 0 if k<0 or if k>n. - Philippe Deléham, Mar 27 2012 EXAMPLE First few rows of the triangle =     1;     2,    0;     4,    1,    0;     8,    4,    1,   0;    16,   12,    5,   1,   0;    32,   32,   18,   6,   1,   0;    64,   80,   56,  25,   7,   1,  0;   128,  192,  160,  88,  33,   8,  1,  0;   256,  448,  432, 280, 129,  42,  9,  1, 0;   512, 1024, 1120, 832, 450, 180, 52, 10, 1, 0;   ... CROSSREFS Cf. A046854, A001519. Sequence in context: A291940 A153345 A140648 * A144258 A056859 A272098 Adjacent sequences:  A153339 A153340 A153341 * A153343 A153344 A153345 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Dec 24 2008 EXTENSIONS Second term corrected by Philippe Deléham, Jan 01 2009 STATUS approved

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Last modified April 9 10:32 EDT 2020. Contains 333348 sequences. (Running on oeis4.)