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A119732 f-Pascal's triangle where f(n) = n*(n+1)/2 = A000217(n). 0
1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 11, 20, 11, 1, 1, 67, 276, 276, 67, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..20.

FORMULA

T(n,k) = f(T(n-1,k-1)) + f(T(n-1,k))where f(n) = n*(n+1)/2 = A000217(n); T(0;0) = 1 ; T(n,k) = 0 if k<0 or if k>n.

EXAMPLE

Triangle begins:

1;

1, 1;

1, 2, 1;

1, 4, 4, 1;

1, 11, 20, 11, 1;

1, 67, 276, 276, 67, 1;

CROSSREFS

Cf. A007318.

Sequence in context: A326326 A307139 A078121 * A260625 A306614 A264336

Adjacent sequences:  A119729 A119730 A119731 * A119733 A119734 A119735

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Jun 14 2006

STATUS

approved

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Last modified January 27 02:46 EST 2020. Contains 331291 sequences. (Running on oeis4.)