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A115356 Matrix (1,x)+(x,x^2) in Riordan array notation. +0
3
1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; listen)
OFFSET

0,1

COMMENT

Row sums are A000034. Diagonal sums are A115357. Inverse is A115358.

FORMULA

Number triangle T(n, k)=if(n=k, 1, 0) OR if(n=2k+1, 1, 0).

EXAMPLE

Triangle begins

1;

1, 1;

0, 0, 1;

0, 1, 0, 1;

0, 0, 0, 0, 1;

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

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

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

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

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

CROSSREFS

Sequence in context: A133985 A143062 A074910 this_sequence A115359 A117906 A090678

Adjacent sequences: A115353 A115354 A115355 this_sequence A115357 A115358 A115359

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 21 2006

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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