The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A153585 Convolution triangle, A053121 * (A001405 * 0^(n-k)) 3
 1, 0, 1, 1, 0, 2, 0, 2, 0, 3, 2, 0, 6, 0, 6, 0, 5, 0, 12, 0, 10, 5, 0, 18, 0, 30, 0, 20, 0, 14, 0, 42, 0, 60, 0, 35, 14, 0, 56, 0, 120, 0, 140, 0, 70, 0, 42, 0, 144, 0, 270, 0, 280, 0, 126 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS Row sums = A145974: (1, 1, 3, 5, 14, 27, 73,...). LINKS FORMULA Convolution triangle, A053121 * (A001405 * 0^(n-k)). A053121 = the aerated Catalan triangle and (A001405 * 0^(n-k) = an infinite lower triangular matrix with A001405 as the main diagonal and the rest zeros. EXAMPLE First few rows of the triangle = 1; 0, 1; 1, 0, 2; 0, 2, 0, 3; 2, 0, 6, 0, 6; 0, 5, 0, 12, 0, 10; 5, 0, 18, 0, 30, 0, 20; 0, 14, 0, 42, 0, 60, 0, 35; 14, 0, 56, 0, 120, 0, 140, 0, 70; 0, 42, 0, 144, 0, 270, 0, 280, 0, 126; 42, 0, 180, 0, 450, 0, 700, 0, 630, 0, 252; ... Example: Row 4 = (2, 0, 6, 0, 6) = termwise products of (2, 0, 3, 0, 1) and (1, 1, 2, 3, 6). CROSSREFS Sequence in context: A318447 A273846 A090290 * A169611 A242460 A144494 Adjacent sequences:  A153582 A153583 A153584 * A153586 A153587 A153588 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Dec 28 2008 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 24 06:56 EDT 2021. Contains 346273 sequences. (Running on oeis4.)