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A167656
Triangle T(n,k), 0<=k<=n, read by rows given by [1,1,2,1,2,1,2,1,2,1,2,...] DELTA [1,1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.
1
1, 1, 1, 2, 4, 2, 6, 16, 14, 4, 22, 68, 78, 40, 8, 90, 304, 410, 284, 104, 16, 394, 1412, 2122, 1776, 896, 256, 32, 1806, 6752, 10966, 10468, 6496, 2592, 608, 64, 8558, 33028, 56870, 59832, 43016, 21376, 7072, 1408, 128, 41586, 164512, 296498, 336252
OFFSET
0,4
FORMULA
T(n,0) = T(n-1,0) + T(n-1,1).
T(n,1) = T(n-1,0) + 3*T(n-1,1) + T(n-1,2).
T(n,k) = 2*T(n-1,k-1) + 3*T(n-1,k) + T(n-1,k+1) for k>1.
EXAMPLE
Triangle begins:
1 ;
1,1 ;
2,4,2 ;
6,16,14,4 ;
22,68,78,40,8 ;
90,304,410,284,104,16 ;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Philippe Deléham, Nov 08 2009
STATUS
approved