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A152903 Convolution triangle: A152901 * (A152902 * 0^(n-k)) 1
1, -1, 3, -1, -3, 7, 0, -3, -7, 14, -1, 0, -7, -14, -1, 0, -7, -14, 1, -3, 0, -14, -27, 49, -1, 3, -7, 0, -27, -49, 88, 0, -3, 7, -14, 0, -49, -88, 155, 0, 0, -7, 14, -27, 0, -88, -155, 272, 1, 0, 0, -14, 27, -49, 0, -155, -272, 472 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row sums = n, equivalent to the statement that A008683 convolved with A152902 = A000027, the natural numbers. Right border = A152902, left border = A008683.

LINKS

Table of n, a(n) for n=1..58.

FORMULA

Triangle read by rows, A152901 * (A152902 * 0^(n-k); where triangle A152901 = a mu(n) "decrescendo" triangle with mu(n), A008683 in every column. (A152902 * 0^(n-k)) = a matrix with A152902 as the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle =

1;

-1, 3;

-1, -3, 7;

0, -3, -7, 14;

-1, 0, -7, -14, 27;

1, -3, 0, -14, -27, 49;

-1, 3, -7, 0, -27, -49, 88;

0, -3, 7, -14, 0, -49, -88, 155;

0, 0, -7, 14, -27, 0, -88, -155, 272;

1, 0, 0, -14, 27, -49, 0, -155, -272, 472;

-1, 3, 0, 0, -27, 49, -88, 0, -272, -472, 819;

...

CROSSREFS

Cf. A152901, A152902, A000027, A008683.

Sequence in context: A053642 A171961 A205121 * A226522 A122507 A257258

Adjacent sequences:  A152900 A152901 A152902 * A152904 A152905 A152906

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Dec 14 2008

STATUS

approved

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Last modified September 28 10:48 EDT 2021. Contains 347714 sequences. (Running on oeis4.)