The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A160760 Triangle read by rows, binomial transform of an infinite lower triangular Toeplitz matrix with A078008 in every column. 2
 1, 1, 1, 3, 2, 1, 9, 5, 3, 1, 27, 14, 8, 4, 1, 81, 41, 22, 12, 5, 1, 243, 122, 63, 34, 17, 6, 1, 729, 365, 185, 97, 51, 23, 7, 1, 2187, 1094, 550, 282, 148, 74, 30, 8, 1, 6561, 3281, 1644, 832, 430, 222, 104, 38, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Row sums = A025192: (1, 2, 6, 18, 54, 162, 486, 1458,...). A triangle formed like Pascal's triangle, but with 3^n for n>=0 on the left border instead of 1. - Boris Putievskiy, Aug 19 2013 LINKS Table of n, a(n) for n=0..54. FORMULA A007318 * an infinite lower triangular Toeplitz matrix with A078008 in every column: (1, 0, 2, 2, 6, 10, 22, 42, 86,...). Closed-form formula for arbitrary left and right borders of Pascal like triangle see A228196. - Boris Putievskiy, Aug 19 2013 EXAMPLE First few rows of the triangle = 1; 1, 1; 3, 2, 1; 9, 5, 3, 1; 27, 14, 8, 4, 1; 81, 41, 22, 12, 5, 1; 243, 122, 63, 34, 17, 6, 1; 729, 365, 185, 97, 51, 23, 7, 1; 2187, 1094, 550, 282, 148, 74, 30, 8, 1; 6561, 3281, 1644, 832, 430, 222, 104, 38, 9, 1; ... CROSSREFS Cf. A078008, A025192. Sequence in context: A156647 A183154 A193791 * A152860 A002350 A109267 Adjacent sequences: A160757 A160758 A160759 * A160761 A160762 A160763 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, May 25 2009 EXTENSIONS T(7,4) corrected by Georg Fischer, Oct 08 2021 STATUS approved

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

Last modified May 20 03:57 EDT 2024. Contains 372703 sequences. (Running on oeis4.)