The On-Line Encyclopedia of Integer Sequences (OEIS)

A292143 revision #7

A292143

Triangle read by rows: T(n,k) = (-4)^(1 - k mod 2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).

1, 0, 1, 0, 1, 0, 1, -4, 0, 1, -4, 0, 1, -8, 0, 1, -8, -4, 0, 1, -12, -4, 0, 1, -12, -8, 0, 1, -16, -12, 0, 1, -16, -16, 16, 0, 1, -20, -20, 16, 0, 1, -20, -28, 32, 0, 1, -24, -32, 48, 0, 1, -24, -40, 80, 0, 1, -28, -48, 96, 16

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,8

LINKS

Table of n, a(n) for n=0..60.

EXAMPLE

First few rows are:

0, 1;

0, 1, -4;

0, 1, -8;

0, 1, -8, -4;

0, 1, -12, -4;

0, 1, -12, -8;

0, 1, -16, -12;

0, 1, -16, -16, 16.

CROSSREFS

Row sums give A292141.

Columns 0-1 give A000007, A000012.

Cf. A292049.

Sequence in context: A176803 A115636 A115715 * * A350824 A281441

Adjacent sequences: A292140 A292141 A292142 * A292144 A292145 A292146

KEYWORD

sign,tabf

AUTHOR

Seiichi Manyama, Sep 09 2017

STATUS

editing