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A114002 Expansion of x^k(1+x^(k+1))/(1-x^(k+1)). 3
1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Inverse is A114004. Row sums are A114003.

LINKS

Table of n, a(n) for n=0..104.

FORMULA

Column k has g.f. x^k(1+x^(k+1))/(1-x^(k+1))

Equals 2*A051731 - I, I = Identity matrix. - Gary W. Adamson, Nov 07 2007

EXAMPLE

Triangle begins

1;

2,1;

2,0,1;

2,2,0,1;

2,0,0,0,1;

2,2,2,0,0,1;

2,0,0,0,0,0,1;

CROSSREFS

Cf. A051731.

Sequence in context: A135387 A127442 A115628 * A114004 A049986 A218797

Adjacent sequences:  A113999 A114000 A114001 * A114003 A114004 A114005

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Nov 12 2005

STATUS

approved

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Last modified November 21 17:44 EST 2017. Contains 295004 sequences.