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A115296 Skew version of correlation triangle for constant sequence 1. +0
1
1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 3, 2, 1, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 2, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 3, 2, 1 (list; table; graph; listen)
OFFSET

0,9

COMMENT

Row sums are A001399. Diagonal sums are A025795.

FORMULA

G.f.: 1/((1-x*y)*(1-x^2*y)*(1-x^3*y^2)); Number triangle T(n, k)=sum{j=0..k, [j<=n-k]*[j<=2k-n]}; T(n, k)=A003983(k, n-k).

EXAMPLE

Triangle begins

1;

0,1;

0,1,1;

0,0,2,1;

0,0,1,2,1;

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

0,0,0,1,3,2,1;

0,0,0,0,2,3,2,1;

CROSSREFS

Sequence in context: A035468 A051777 A107628 this_sequence A059048 A124645 A029409

Adjacent sequences: A115293 A115294 A115295 this_sequence A115297 A115298 A115299

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 19 2006

page 1

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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