A108286 - OEIS

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A108286

Triangle read by rows; columns are simple recursive sequences.

1, 3, 1, 6, 4, 1, 10, 11, 5, 1, 15, 26, 18, 6, 1, 21, 57, 58, 27, 7, 1, 28, 120, 179, 112, 38, 8, 1, 36, 247, 543, 453, 194, 51, 9, 1, 45, 502, 1636, 1818, 975, 310, 66, 10, 1

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Left column = triangular numbers; Col. 2, (1, 4, 11...) = A000295; Col. 3, (1, 5, 18...) = A000340; Col. 4, (1, 6, 27...) = A014825; Col.5, (1, 7, 38...) = A014827.

LINKS

Table of n, a(n) for n=1..45.

FORMULA

r-th term in n-th column: initial "1", then a(r) = n*a(r-1) + r. Diagonals of A108285 become the columns of A108286.

EXAMPLE

First few rows of the triangle are:

3, 1;

6, 4, 1;

10, 11; 5, 1;

15, 26, 18, 6, 1;

21, 57, 58, 27, 7, 1;

...