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A088874 Triangle read by rows, given by [0, 2, 6, 12, 20, 30, 42, 56, ...] DELTA [1, 2, 3, 4, 5, 6, 7, 8, ...] where Delta is the operator defined in A084938. +0
3
1, 0, 1, 0, 2, 3, 0, 16, 30, 15, 0, 272, 588, 420, 105, 0, 7936, 18960, 16380, 6300, 945, 0, 353792, 911328, 893640, 429660, 103950, 10395, 0, 22368256, 61152000, 65825760, 36636600, 11351340, 1891890, 135135, 0, 1903757312 (list; table; graph; listen)
OFFSET

0,5

REFERENCES

Ghislain R. Franssens, On a Number Pyramid Related to the Binomial, Deleham, Eulerian, MacMahon and Stirling number triangles, Journal of Integer Sequences, Vol. 9 (2006), Article 06.4.1.

FORMULA

T(n, k) = A085734(n-1, k-1) for n>0 and k>0.

EXAMPLE

{1}; {0, 1}; {0, 2, 3}; {0, 16, 30, 15}; {0, 272, 588, 420, 105}

CROSSREFS

Another version of the triangle A085734.

Diagonals give : A000007 A000182 A001147, Row sums A000364.

Sequence in context: A085042 A096542 A009206 this_sequence A002634 A070078 A054438

Adjacent sequences: A088871 A088872 A088873 this_sequence A088875 A088876 A088877

KEYWORD

nonn,tabl,easy

AUTHOR

DELEHAM Philippe ( kolotoko(AT)wanadoo.fr), Nov 26 2003

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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