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A292495
Triangle read by rows: T(n,k) = (-2)*T(n-1,k-1) + T(n,k-1) with T(2*m,0) = 0 and T(2*m+1,0) = (-1)^m.
3
0, 1, 1, 0, -2, -4, -1, -1, 3, 11, 0, 2, 4, -2, -24, 1, 1, -3, -11, -7, 41, 0, -2, -4, 2, 24, 38, -44, -1, -1, 3, 11, 7, -41, -117, -29, 0, 2, 4, -2, -24, -38, 44, 278, 336, 1, 1, -3, -11, -7, 41, 117, 29, -527, -1199, 0, -2, -4, 2, 24, 38, -44, -278, -336, 718
OFFSET
0,5
LINKS
FORMULA
T(n+1,n)^2 + T(n,n)^2 = 5^n.
EXAMPLE
First few rows are:
0;
1, 1;
0, -2, -4;
-1, -1, 3, 11;
0, 2, 4, -2, -24;
1, 1, -3, -11, -7, 41;
0, -2, -4, 2, 24, 38, -44;
-1, -1, 3, 11, 7, -41, -117, -29;
0, 2, 4, -2, -24, -38, 44, 278, 336.
CROSSREFS
The diagonal of the triangle is related to A099456.
The next diagonal of the triangle is related to A139011.
T(n,k) = b*T(n-1,k-1) + T(n,k-1): A292789 (b=-3), this sequence (b=-2), A117918 and A228405 (b=1), A227418 (b=2), A292466 (b=4).
Sequence in context: A362142 A139227 A269750 * A065626 A201758 A096110
KEYWORD
sign,tabl,look
AUTHOR
Seiichi Manyama, Sep 22 2017
STATUS
approved