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A080245
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Inverse of coordination sequence array A113413.
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6
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1, -2, 1, 6, -4, 1, -22, 16, -6, 1, 90, -68, 30, -8, 1, -394, 304, -146, 48, -10, 1, 1806, -1412, 714, -264, 70, -12, 1, -8558, 6752, -3534, 1408, -430, 96, -14, 1, 41586, -33028, 17718, -7432, 2490, -652, 126, -16, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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COMMENTS
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Formal inverse of A035607 when written as lower triangular matrix 1 2 1 2 4 1 ...
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LINKS
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Table of n, a(n) for n=0..44.
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FORMULA
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Essentially the same as the triangle T(n, k), for n>0 and k>0, given by [0, -2, -1, -2, -1, -2, -1, -2, ...] DELTA A000007. Triangle (unsigned) given by [0, 2, 1, 2, 1, 2, 1, 2, ...] DELTA A000007, where DELTA is Deléham's operator defined in A084938.
Riordan array ((sqrt(1+6x+x^2)-x-1)/(2x), (sqrt(1+6x+x^2)-x-1)/2).
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EXAMPLE
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Rows are {1}, {-2, 1}, {6, -4, 1}, {-22, 16, -6, 1}, ....
Contribution from Paul Barry, Apr 28 2009: (Start)
Triangle begins
1,
-2, 1,
6, -4, 1,
-22, 16, -6, 1,
90, -68, 30, -8, 1,
-394, 304, -146, 48, -10, 1,
1806, -1412, 714, -264, 70, -12, 1
Production matrix is
-2, 1,
2, -2, 1,
-2, 2, -2, 1,
2, -2, 2, -2, 1,
-2, 2, -2, 2, -2, 1,
2, -2, 2, -2, 2, -2, 1,
-2, 2, -2, 2, -2, 2, -2, 1 (End)
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CROSSREFS
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Row sums are signed little Schroeder numbers A080243. Diagonal sums are given by A080244.
Cf. A035607, A080243, A080244, A006603, A001003.
Cf. A000007 A084938.
Essentially same triangle as A033877 but with rows read in reversed order.
Sequence in context: A054335 A110681 A117852 * A080247 A078937 A167560
Adjacent sequences: A080242 A080243 A080244 * A080246 A080247 A080248
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KEYWORD
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sign,tabl
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AUTHOR
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Paul Barry, Feb 13 2003
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STATUS
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approved
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