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A145975 Triangle read by rows, partition triangle A027293 convolved with A010815. 3
1, 1, -1, 2, -1, -1, 3, -2, -1, 0, 5, -3, -2, 0, 0, 7, -5, -3, 0, 0, 1, 11, -7, -5, 0, 0, 1, 0, 15, -11, -7, 0, 0, 2, 0, 1, 22, -15, -11, 0, 0, 3, 0, 1, 0, 30, -22, -15, 0, 0, 5, 0, 2, 0, 42, -30, -22, 0, 0, 7, 0, 3, 0, 0, 0, 56, -42, -30, 0, 0, 11, 0, 5, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Row sums = [1, 0, 0, 0,...]. (a set of matrix operations equivalent to the comment in A010815 that "convolved with the partition numbers = [1, 0, 0, 0,...].

LINKS

Table of n, a(n) for n=1..77.

FORMULA

Triangle read by rows, = (A027293 * (A010815 * 0^(n-k)); 0<=k<=n. A027293 = an infinite lower triangular matrix with A000041 in every column (the partition numbers). A010815 = (1, -1, -1, 0, 0, 1,...)

EXAMPLE

First few rows of the triangle =

1;

1, -1;

2, -1, -1;

3, -2, -1, 0;

5, -3, -2, 0, 0;

7, -5, -3, 0, 0, 1;

11, -7, -5, 0, 0, 1, 0;

15, -11, -7, 0, 0, 2, 0, 1;

22, -15, -11, 0, 0, 3, 0, 1, 0;

30, -22, -15, 0, 0, 5, 0, 2, 0, 0;

42, -30, -22, 0, 0, 7, 0, 3, 0, 0, 0;

...

CROSSREFS

A027293, Cf. A010815, A000041

Sequence in context: A127948 A177350 A190688 * A211028 A239001 A277648

Adjacent sequences:  A145972 A145973 A145974 * A145976 A145977 A145978

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Oct 25 2008

STATUS

approved

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Last modified June 21 16:12 EDT 2018. Contains 305624 sequences. (Running on oeis4.)