The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A174740 Triangle read by rows, A027293 * an infinite lower triangular matrix with A147843 as the diagonal and the rest zeros. 2
 1, 1, 2, 2, 2, 0, 3, 4, 0, 0, 5, 6, 0, 0, -5, 7, 10, 0, 0, -5, 0, 11, 14, 0, 0, -10, 0, -7, 15, 22, 0, 0, -15, 0, -7, 0, 22, 30, 0, 0, -25, 0, -14, 0, 0, 30, 44, 0, 0, -35, 0, -21, 0, 0, 0, 42, 60, 0, 0, -55, 0, -35, 0, 0, 0, 0, 56, 84, 0, 0, -75, 0, -49, 0, 0, 0, 0, 12 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Left border = the partition numbers, A000041; right border = A147843 starting (1, 2, 0, ...). Row sums apparently give A000203. Check: Sum of row 6 terms = [7, 5, 3, 2, 1, 1] dot [1, 2, 0, 0, -5, 0] = [7 + 10 + 0 + 0 -5 + 0] = 12 = A000203(6). LINKS Table of n, a(n) for n=1..78. FORMULA Equals triangle A027293 * a lower triangular matrix with A147843 (deleting the first zero) as the right border and the rest zeros. T(n,k) = A147843(k) * A027293(n,k). - Joerg Arndt, Dec 29 2022 EXAMPLE First few rows of the triangle: 1; 1, 2; 2, 2, 0; 3, 4, 0, 0; 5, 6, 0, 0, -5; 7, 10, 0, 0, -5, 0; 11, 14, 0, 0, -10, 0, -7; 15, 22, 0, 0, -15, 0, -7, 0; 22, 30, 0, 0, -25, 0, -14, 0, 0; 30, 44, 0, 0, -35, 0, -21, 0, 0, 0; 42, 60, 0, 0, -55, 0, -35, 0, 0, 0, 0; 56, 84, 6, 0, -75, 0, -49, 0, 0, 0, 0, 12; ... CROSSREFS Cf. A027293, A147843, A000041, A000203. Sequence in context: A071441 A134577 A071442 * A124759 A071295 A296062 Adjacent sequences: A174737 A174738 A174739 * A174741 A174742 A174743 KEYWORD tabl,sign AUTHOR Gary W. Adamson, Mar 28 2010 EXTENSIONS Terms corrected by Gary W. Adamson, Dec 27 2022 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 July 24 02:09 EDT 2024. Contains 374575 sequences. (Running on oeis4.)