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 A180403 Numerator in Moebius transform of A001790/A046161. 4
 1, -1, -5, -3, -93, 95, -793, -211, -5853, 27003, -215955, 57459, -3518265, 3602027, 16811055, -4362627, -1846943453, 293601363, -14911085359, 4487888279, 144251733709, 245294787521, -1936010885087, 228009405371, -11179552565305, 63485965327535, -48562641580527 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Consider a lower triangular matrix T(n,k) defined by T(n,1)=A001790/A046161, k>1: T(n,k) = (Sum_{i=1..k-1} T(n-i,k-1)) - (Sum_{i=1..k-1} T(n-i,k)). The first column in the matrix inverse of T(n,k) will have the fraction A180403/A046161 in its first column. The sequence considers the Moebius transform 1, -1/2, -5/8, -3/16, -93/128, ... of the sequence A001790(n-1)/A046161(n-1), i.e., assigning offset 1 to A001790 and A046161. - R. J. Mathar, Apr 22 2011 LINKS FORMULA Lambert series: Sum_{n >= 1} (A180403(n)/A046161(n))*x^n/(1-x^n) = x/sqrt(1-x). - Mats Granvik, Sep 07 2010 CROSSREFS Cf. A001790, A046161 (denominators). Sequence in context: A350213 A255599 A145985 * A343582 A267512 A230389 Adjacent sequences:  A180400 A180401 A180402 * A180404 A180405 A180406 KEYWORD frac,sign AUTHOR Mats Granvik, Sep 02 2010 EXTENSIONS Signs of terms corrected by Mats Granvik, Sep 05 2010 Corrected and edited by Mats Granvik, Oct 08 2010 STATUS approved

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Last modified October 6 10:31 EDT 2022. Contains 357263 sequences. (Running on oeis4.)