This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 . [From 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 . [From 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.