

A199400


Triangle T(n,k), read by rows, given by (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) DELTA (2,1,3,2,4,3,5,4,6,5,7,6,8,7,9,...) where DELTA is the operator defined in A084938.


2



1, 2, 2, 4, 10, 6, 8, 38, 54, 24, 16, 130, 330, 336, 120, 32, 422, 1710, 3000, 2400, 720, 64, 1330, 8106, 21840, 29400, 19440, 5040, 128, 4118, 36414, 141624, 285600, 312480, 176400, 40320, 256, 12610, 158010, 853776, 2421720, 3900960, 3598560, 1774080, 362880
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OFFSET

0,2


COMMENTS



LINKS



FORMULA

T(n,k)=(k+1)*T(n1,k1)+(k+2)*T(n1,k).
Sum_{k, 0<=k<=n} T(n,k)=A162509(n+1).


EXAMPLE

Triangle begins :
1
2, 2
4, 10, 6
8, 38, 54, 24
16, 130, 330, 336, 120
32, 422, 1710, 3000, 2400, 720


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



