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A144182 Eigentriangle, row sums = A144181 3
1, 0, 1, 2, 0, 2, 4, 2, 0, 3, -4, 4, 2, 0, 9, 0, -4, 4, 6, 0, 11, -8, 0, -4, 12, 18, 0, 17, -16, -8, 0, -12, 36, 22, 0, 35, 16, -16, -8, 0, -36, 44, 34, 0, 57, 0, 16, -16, -24, 0, -44, 68, 70, 0, 91, 32, 0, 16, -48, -72, 0, -68, 140, 114, 0, 161 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Row sums = A144181: (1, 1, 3, 9, 11, 17, 35,...).

Left border = A118434: (1, 0, 2, 4, -4, 0, -8,...); (i.e. row sums of the self-inverse triangle A118433).

Triangle A144183 = partial sums starting from the right of A144182.

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

LINKS

Table of n, a(n) for n=0..65.

FORMULA

Triangle read by rows, T(n,k) = A118434(n-k)*A144181(k-1); where A144181(k-1) = A144181 shifted to (1, 1, 1, 3, 9, 11, 17, 35, 57, 91, 161,...).

EXAMPLE

First few rows of the triangle are:

1;

0, 1;

2, 0, 1;

4, 2, 0, 3;

-4, 4, 2, 0, 9;

0, -4, 4, 6, 0, 11;

-8, 0, -4, 12, 18, 0, 17;

-16, -8, 0, -12, 36, 22, 0, 35;

...

row 3 = (4, 2, 0, 3) = termwise products of (4, 2, 0, 1) and (1, 1, 1, 3) = (4*1, 2*1, 0*1, 1*3).

CROSSREFS

A144181, Cf. A118434, A144183

Sequence in context: A092741 A347223 A338227 * A037036 A055947 A015910

Adjacent sequences:  A144179 A144180 A144181 * A144183 A144184 A144185

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Sep 13 2008

STATUS

approved

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Last modified December 2 18:09 EST 2021. Contains 349445 sequences. (Running on oeis4.)