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A137683 Triangle read by rows, A026794 * A007318^(-1). 1
1, 0, 1, 3, -2, 1, 1, 4, -3, 1, 5, -3, 6, -4, 1, 5, 5, -9, 10, -5, 1, 11, -6, 16, -20, 15, -6, 1, 10, 12, -23, 36, -35, 21, -7, 1, 20, -5, 27, -55, 70, -56, 28, -8, 1, 24, 11, -31, 81, -125, 126, -84, 36, -9, 1, 38, -9, 51, -123, 211, -252, 210, -120, 45, -10, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, 22,...).

LINKS

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

FORMULA

As an infinite lower triangular matrix, A026794 * the inverse of Pascal's triangle.

EXAMPLE

First few rows of the triangle are:

1;

0, 1;

3, -2, 1;

1, 4, -3, 1;

5, -3, 6, -4, 1;

5, 5, -9, 10, -5, 1;

...

T(3,1) = -3 = (0, 0, 1, -3) dot (3, 1, 0, 1) = (0, 0, 0, -3)

CROSSREFS

Cf. A000041, A026794.

Sequence in context: A239938 A097794 A275494 * A259341 A046225 A269233

Adjacent sequences:  A137680 A137681 A137682 * A137684 A137685 A137686

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Feb 05 2008

STATUS

approved

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Last modified June 25 13:21 EDT 2017. Contains 288711 sequences.