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A132898 (A000012 * A127648 + A127648 * A000012) - A000012; A127648 with alternate signs. 1
1, -2, -5, 3, 0, 5, -4, -7, -2, -9, 5, 2, 7, 0, 9, -6, -9, -4, -11, -2, -13, 7, 4, 9, 2, 11, 0, 13, -8, -11, -6, -13, -4, -15, -2, -17, 9, 6, 11, 4, 13, 2, 15, 0, 17, -10, -13, -8, -15, -6, -17, -4, -19, -2, -21 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Row sums = A132899: (1, -7, 8, -22, 23, -45,...)

FORMULA

(A000012 * A126648 + A127648 * A000012) - A000012 as infinite lower triangular matrices; where A127648 = (1; 0,-2; 0,0,3; 0,0,0,-4;...). Given the sequence S = (1, -2, 3, -4, 5,...); T(n,k) = S(n) + S(k) - 1.

EXAMPLE

First few rows of the triangle are:

1;

-2, -5;

3, 0, 5;

-4, -7, -2, -9;

5, 2, 7, 0, 9;

-6, -9, -4, -11, -2, -13;

7, 4, 9, 2, 11, 0, 13;

-8, -11, -6, -13, -4, -15, -2, -17;

9, 6, 11, 4, 13, 2, 15, 0, 7;

...

T(5,3) = 7 = S(5) + S(3) = 5 + 3 - 1.

CROSSREFS

Cf. A127648, A132899.

Sequence in context: A130280 A011035 A102892 * A062706 A059217 A021802

Adjacent sequences:  A132895 A132896 A132897 * A132899 A132900 A132901

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 03 2007

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Last modified February 13 20:37 EST 2012. Contains 205554 sequences.