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A134637 Triangle, T(n,k) = T(n-1,k) + T(n-1,k-1), 1<=k<=n; given borders consist of the Tetrahedral numbers. +0
2
1, 4, 4, 10, 8, 10, 20, 18, 18, 20, 35, 38, 36, 38, 35, 56, 73, 34, 74, 73, 56, 84, 129, 147, 148, 147, 129, 84, 120, 213, 276, 295, 295, 276, 213, 120 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums = A134638: (1, 8, 28, 76, 182, 406,...).

FORMULA

Triangle, given borders = A000292, then apply Pascal's rule.

EXAMPLE

First few rows of the triangle are:

1;

4, 4;

10, 8, 10;

20, 18, 18, 20;

35, 38, 36, 38, 35;

56, 73, 74, 74, 73, 56;

...

CROSSREFS

Cf. A000292, A134638.

Sequence in context: A120395 A007426 A050348 this_sequence A078910 A140234 A101256

Adjacent sequences: A134634 A134635 A134636 this_sequence A134638 A134639 A134640

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 04 2007

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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