

A144106


Eigentriangle, row sums = (2n + 1).


2



1, 2, 1, 0, 2, 3, 4, 0, 6, 5, 4, 4, 0, 10, 7, 4, 4, 12, 0, 14, 9, 12, 4, 12, 20, 0, 18, 11, 4, 12, 12, 20, 28, 0, 22, 13, 20, 4, 36, 20, 28, 36, 0, 26, 15, 28, 20, 12, 60, 28, 36, 44, 0, 30, 17
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OFFSET

0,2


COMMENTS

Sum of nth row terms = rightmost term of next row.


LINKS

Table of n, a(n) for n=0..54.


FORMULA

Eigentriangle by rows, T(n,k) = A078050(nk) * X; where X = an infinite lower triangular matrix with (1, 1, 3, 5, 7, 9,...) in the main diagonal and the rest zeros. A078050 is signed: (1, 2, 0, 4, 4, 4, 12, 4, 20, 28,...) = the INVERTi transform of the odd numbers: (1, 3, 5, 7,...).


EXAMPLE

First few rows of the triangle =
1;
2, 1;
0, 2, 3;
4, 0, 6, 5;
4, 4, 0, 10, 7;
4, 4, 12, 0, 14, 9;
12, 4, 12, 20, 0, 18, 11;
4, 12, 12, 20, 28, 0, 22, 13;
20, 4, 36, 20, 28, 36, 0, 26, 15;
...
Row 3 = (4, 0, 6, 5) = (4*1, 0*1, 3*2, 5*1) = termwise product of (4, 0, 2, 1) and (1, 1, 3, 5); where (4, 0, 2, 1) = the first 4 terms of signed A078050 (reversed).


CROSSREFS

Cf. A005408, A078050.
Sequence in context: A296529 A110280 A061009 * A104558 A206022 A115247
Adjacent sequences: A144103 A144104 A144105 * A144107 A144108 A144109


KEYWORD

tabl,sign


AUTHOR

Gary W. Adamson, Sep 11 2008


STATUS

approved



