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A140756 Count up to k sequence with alternating signs (k always positive). +0
2
1, -1, 2, 1, -2, 3, -1, 2, -3, 4, 1, -2, 3, -4, 5, -1, 2, -3, 4, -5, 6, 1, -2, 3, -4, 5, -6, 7, -1, 2, -3, 4, -5, 6, -7, 8, 1, -2, 3, -4, 5, -6, 7, -8, 9, -1, 2, -3, 4, -5, 6, -7, 8, -9, 10, 1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -1, 2, -3, 4, -5, 6, -7, 8, -9, 10, -11, 12, 1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -12, 13 (list; table; graph; listen)
OFFSET

1,3

FORMULA

G.f.: A(x) = x*(1+3*x^2+2*x^4)/((1-x)*(1-x^2)^2).

Regarded as a triangle, T(n,k) = (-1)^{n-k} * k.

CROSSREFS

Cf. A002260, A140757.

Sequence in context: A138060 A023121 A136261 this_sequence A002260 A133994 A066041

Adjacent sequences: A140753 A140754 A140755 this_sequence A140757 A140758 A140759

KEYWORD

easy,sign,tabl

AUTHOR

Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), May 27 2008

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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