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 A164948 Fibonacci matrix read by antidiagonals. (Inverse of A136158.) 1
 1, 1, -1, 3, -4, 1, 9, -15, 7, -1, 27, -54, 36, -10, 1, 81, -189, 162, -66, 13, -1, 243, -648, 675, -360, 105, -16, 1, 729, -2187, 2673, -1755, 675, -153, 19, -1, 2187, -7290, 10206, -7938, 3780, -1134, 210, -22, 1, 6561, -24057, 37908, -34020, 19278, -7182, 1764, -276, 25, -1, 19683, -78732, 137781, -139968, 91854, -40824, 12474, -2592, 351, -28, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS As a triangle, rows sum up to A000007. Diagonals sum up to A001519. Triangle, read by rows, given by [1,2,0,0,0,0,0,0,0,...] DELTA [-1,0,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. - Philippe Deléham, Sep 02 2009 Row n: Expansion of (1-x)*(3-x)^(n-1), n>0. - Philippe Deléham, Oct 09 2011 LINKS FORMULA T(n,k) = 3*T(n-1,k) - T(n-1,k-1) with T(0,0)=1, T(1,0)=1, T(1,1)=-1. - Philippe Deléham, Oct 09 2011 G.f.: (1-2*x)/(1-3*x+x*y). - R. J. Mathar, Aug 12 2015 EXAMPLE As triangle:     1;     1,   -1;     3,   -4,    1;     9,  -15,    7,   -1;    27,  -54,   36,  -10,    1;    81, -189,  162,  -66,   13,   -1;   243, -648,  675, -360,  105,  -16,    1; CROSSREFS Cf. A001519, A038763, A136158, A164942. Sequence in context: A158076 A010611 A136158 * A102051 A078068 A054649 Adjacent sequences:  A164945 A164946 A164947 * A164949 A164950 A164951 KEYWORD tabl,sign AUTHOR Mark Dols, Sep 01 2009 EXTENSIONS More terms from Philippe Deléham, Oct 09 2011 STATUS approved

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Last modified October 19 04:40 EDT 2019. Contains 328211 sequences. (Running on oeis4.)