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Search: id:A080245
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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; listen)
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OFFSET
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0,2
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COMMENT
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Formal inverse of A035607 when written as lower triangular matrix 1 2 1 2 4 1 ...
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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 Deleham'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}, ....
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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 this_sequence A080247 A078937 A132159
Adjacent sequences: A080242 A080243 A080244 this_sequence 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 (pbarry(AT)wit.ie), Feb 13 2003
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