A144031 - OEIS

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A144031

INVERT transform of A002321, Mertens's function.

1, 1, 0, -2, -6, -10, -13, -10, 4, 36, 84, 137, 159, 94, -133, -573, -1197, -1788, -1864, -647, 2741, 8784, 16631, 22920, 20769, 87, -49372, -130497, -226511, -286165, -214344, 117678, 822398, 1889427, 3022590, 3465187, 1927286, -3188290, -13016609, -26739085

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

COMMENTS

Equals row sums of triangle A144032.

LINKS

Table of n, a(n) for n=1..40.

EXAMPLE

Given Mertens's function A002321: (1, 0, -1, -1, -2, ...), apply the INVERT transform.

The first 3 terms of A144031 = (1, 1, 1, ...) which we apply to (-1, 0, 1) as a dot product = 0. (-1, 0, 1) = the first 3 terms of A002321 in reverse. [Comment not clear - A144031 can't be right.]

CROSSREFS

Cf. A002321, A144032.

Sequence in context: A235989 A066679 A086123 * A190055 A184929 A180123

Adjacent sequences: A144028 A144029 A144030 * A144032 A144033 A144034

KEYWORD

sign

AUTHOR

Gary W. Adamson, Sep 07 2008

EXTENSIONS

More terms from Alois P. Heinz, May 23 2015

STATUS

approved