

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
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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 selfinverse triangle A118433).
Triangle A144183 = partial sums starting from the right of A144182.
Sum of nth 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(nk)*A144181(k1); where A144181(k1) = 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



