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!)
 A143156 Triangle read by rows, T(n,k) = sum {j=k..n} A001511(j); = A000012 * (A001511 * 0^(n-k)) * A000012; 1<=k<=n. 1
 1, 3, 2, 4, 3, 1, 7, 6, 4, 3, 8, 7, 5, 4, 1, 10, 9, 7, 6, 3, 2, 11, 10, 8, 7, 4, 3, 1, 15, 14, 12, 11, 8, 7, 5, 4, 16, 15, 13, 12, 9, 8, 6, 5, 1, 18, 17, 15, 14, 11, 10, 8, 7, 3, 2, 19, 18, 16, 15, 12, 11, 9, 8, 4, 3, 1, 22, 21, 19, 18, 15, 14, 12, 11, 7, 6, 4, 3 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums = A143157: (1, 5, 8, 20, 25, 37, 44,...). Left border = A005187: (1, 3, 4, 7, 8, 10, 11,...). Right border = ruler sequence, A001511: (1, 2, 1, 3, 1, 2, 1, 4,...). LINKS FORMULA Triangle read by rows, T(n,k) = sum {j=k..n} A001511(j); = A000012 * (A001511 * 0^(n-k)) * A000012; 1<=k<=n. A001511 = the ruler sequence, (1, 2, 1, 3, 1, 2, 1, 4,...). EXAMPLE First few rows of the triangle = 1; 3, 2; 4, 3, 1; 7, 6, 4, 3; 8, 7, 5, 4, 1; 10, 9, 7, 6, 3, 2; 11, 10, 8, 7, 4, 3, 1; ... Row 6 = (10, 9, 7, 6, 3, 2) = partial sums of the first 6 terms of the ruler sequence, starting from the right: (1, 2, 1, 3, 1, 2,...). CROSSREFS Cf. A001511, A000012, A091512, A005187. Sequence in context: A013633 A016559 A104566 * A227471 A101403 A025509 Adjacent sequences:  A143153 A143154 A143155 * A143157 A143158 A143159 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Jul 27 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 February 27 17:20 EST 2020. Contains 332307 sequences. (Running on oeis4.)