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A144963 Eigentriangle, row sums = A000081 starting (1, 2, 4, 9, 20, 48, 115,...). 2
1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 3, 2, 2, 4, 9, 8, 3, 4, 4, 9, 20, 16, 8, 6, 8, 9, 20, 48, 41, 16, 16, 12, 18, 20, 48, 115, 98, 41, 32, 32, 27, 40, 115, 286, 250, 98, 82, 64, 72, 60, 96, 115, 286, 719 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Row sums = A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, 115,...)

Right border = (1, 1, 2, 4, 9, 20, 48,...).

Left border = A051573: (1, 1, 1, 2, 3, 8, 16, 41,...)

Sum of n-th row terms = rightmost term of next row.

LINKS

Table of n, a(n) for n=1..54.

FORMULA

Eigentriangle by rows, termwise products of A000081 starting with offset 2: (1, 2, 4, 9, 20, 48,...) and row terms of an A051573 decrescendo triangle: (1; 1,1; 1,1,1; 2,1,1,1; 3,2,1,1,1;...) where A051573 = (1, 1, 1, 2, 3, 8, 16, 41,...).

EXAMPLE

First few rows of the triangle =

1;

1, 1;

1, 1, 2;

2, 1, 2, 4;

3, 2, 2, 4, 9;

8, 3, 4, 4, 9, 20;

16, 8, 6, 8, 9, 20, 48;

41, 16, 16, 12, 18, 20, 48, 115;

98, 41, 32, 3227, 40, 48, 115, 286;

...

Row 4 = (2, 1, 2, 4) = termwise products of (2, 1, 1, 1) and (1, 1, 2, 4).

CROSSREFS

Sequence in context: A129687 A274742 A128176 * A035374 A229219 A048299

Adjacent sequences:  A144960 A144961 A144962 * A144964 A144965 A144966

KEYWORD

eigen,nonn,tabl

AUTHOR

Gary W. Adamson, Sep 27 2008

STATUS

approved

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Last modified December 14 21:25 EST 2017. Contains 296020 sequences.