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 A145677 Triangle T(n,m) read by rows: T(n,0) =1; T(n,n) =n, n>0; T(n,k) =0, 0
 1, 1, 1, 1, 0, 2, 1, 0, 0, 3, 1, 0, 0, 0, 4, 1, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 7, 1, 0, 0, 0, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS The first column is all-1, the diagonals are the integers, the rest is zero. The vector of (1, 1, 2, 5, 16, 65, 326,...), which is 1 followed by A000522, is an eigenvector of the matrix: 1+ sum_{k=1..n} T(n,k)*A000522(k-1) = A000522(n). LINKS FORMULA T(n,k) = A158821(n,n-k). 1+ sum_{k= 1..n} T(n,k) *(k-1) = A002061(n). EXAMPLE First few rows of the triangle: 1; 1, 1; 1, 0, 2; 1, 0, 0, 3; 1, 0, 0, 0, 4; 1, 0, 0, 0, 0, 5; 1, 0, 0, 0, 0, 0, 6; 1, 0, 0, 0, 0, 0, 0, 7; 1, 0, 0, 0, 0, 0, 0, 0, 8; 1, 0, 0, 0, 0, 0, 0, 0, 0, 9; 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10; CROSSREFS Cf. A002061, A000522. Sequence in context: A063658 A237053 A209777 * A128229 A132013 A105820 Adjacent sequences:  A145674 A145675 A145676 * A145678 A145679 A145680 KEYWORD nonn,tabl,easy AUTHOR Gary W. Adamson & Roger L. Bagula, Mar 28 2009 EXTENSIONS Edited by R. J. Mathar, Oct 02 2009 STATUS approved

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Last modified October 23 17:19 EDT 2019. Contains 328373 sequences. (Running on oeis4.)