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A124234 Riordan array (1/(1-x), x(1+x)^2). +0
1
1, 1, 1, 1, 3, 1, 1, 4, 5, 1, 1, 4, 11, 7, 1, 1, 4, 15, 22, 9, 1, 1, 4, 16, 42, 37, 11, 1, 1, 4, 16, 57, 93, 56, 13, 1, 1, 4, 16, 63, 163, 176, 79, 15, 1, 1, 4, 16, 64, 219, 386, 299, 106 (list; table; graph; listen)
OFFSET

0,5

COMMENT

Row sums are A077864. Diagonal sums are A004695(n+3). T(2n,n) is A032443.

FORMULA

Number triangle T(n,k)=sum{j=0..n-k, C(2k,j)}

EXAMPLE

Triangle begins

1,

1, 1,

1, 3, 1,

1, 4, 5, 1,

1, 4, 11, 7, 1,

1, 4, 15, 22, 9, 1,

1, 4, 16, 42, 37, 11, 1

CROSSREFS

Sequence in context: A102716 A134510 A124020 this_sequence A135226 A104730 A131238

Adjacent sequences: A124231 A124232 A124233 this_sequence A124235 A124236 A124237

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 22 2006

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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