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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<k<n-1 . 4
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

Table of n, a(n) for n=0..77.

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.)