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A233207
Triangle T(n,k), read by rows, given by T(n+k,k)=2*k*(2*n+1).
0
0, 0, 2, 0, 6, 4, 0, 10, 12, 6, 0, 14, 20, 18, 8, 0, 18, 28, 30, 24, 10, 0, 22, 36, 42, 40, 30, 12, 0, 26, 44, 54, 56, 50, 36, 14, 0, 30, 52, 66, 72, 70, 60, 42, 16, 0, 34, 60, 78, 88, 90, 84, 70, 48, 18, 0, 38, 68, 90, 104, 110, 108, 98, 80, 54, 20, 0, 42, 76, 102
OFFSET
0,3
COMMENTS
Row sums are A006331(n).
Diagonal sums are A212964(n+1).
T(2n,n)=A002943(n).
FORMULA
T(n+k,k) = A005843(k)*A005408(n).
Sum_{k=0..n} T(n,k) = n*(n+1)*(2*n+1)/3 = A006331(n).
EXAMPLE
Triangle begins:
0
0, 2
0, 6, 4
0, 10, 12, 6
0, 14, 20, 18, 8
0, 18, 28, 30, 24, 10
CROSSREFS
KEYWORD
nonn,tabl,easy,changed
AUTHOR
Philippe Deléham, Dec 05 2013
STATUS
approved