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A143806 Eigentriangle of A130534 1
1, 1, 1, 2, 3, 2, 6, 11, 12, 7, 24, 50, 70, 70, 36, 120, 274, 450, 595, 540, 250, 720, 1764, 3248, 5145, 6300, 5250, 2229 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Right border = A143805 (1, 1, 2, 7, 36, 250,...) = row sums shifted one place to the left, = (1, 2, 7, 36, 250,...). Sum of n-th row terms = rightmost term of next row.

A130534 = the Stirling cycle numbers: 1;

1, 1;

2, 3, 1;

6, 11, 6, 1;

...

First few rows of the triangle = 1;

1, 1;

2, 3, 2;

6, 11, 12, 7;

24, 50, 70, 70, 36;

120, 274, 450, 595, 540, 250;

720, 1764, 3248, 5145, 6300, 5250, 2229;

...

The triangle by rows, applies termwise products of the eigensequence terms of A130534: (1, 1, 2, 7, 36, 250,...) = A143805; to row terms of A130534. Thus row 3 = (6, 11, 12, 7) = (6, 11, 6, 1) and termwise product of the first 4 terms of A143805: (1, 1, 2, 7).

LINKS

Table of n, a(n) for n=0..27.

FORMULA

Triangle read by rows, A130534 * (A143805 * 0^(n-k)); 0<=k<=n

CROSSREFS

A130534, A143805

Sequence in context: A059446 A298854 A188881 * A276551 A109878 A104565

Adjacent sequences:  A143803 A143804 A143805 * A143807 A143808 A143809

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 01 2008

STATUS

approved

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Last modified January 16 22:12 EST 2022. Contains 350376 sequences. (Running on oeis4.)