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

0,5

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: A155971 A154218 A078121 this_sequence A123521 A123246 A122518

Adjacent sequences: A119729 A119730 A119731 this_sequence A119733 A119734 A119735

KEYWORD

nonn,tabl

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jun 14 2006

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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