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 A159934 Triangle, row sums = d(n): M * Q; where M = an infinite lower Toeplitz matrix with A159933 in every column. Q = an infinite lower triangular matrix with d(n) shifted: (1, 1, 2, 2, 3, 2, 4,...) as the main diagonal and the rest zeros. 2
 1, 1, 1, -1, 1, 2, 0, -1, 2, 2, -1, 0, -2, 2, 3, 2, -1, 0, -2, 3, 2, -1, 2, -2, 0, -3, 2, 4, -1, -1, 4, -2, 0, -2, 4, 2, 3, -1, -2, 4, -3, 0, -4, 2, 4, -4, 3, -2, -2, 6, -2, 0, -2, 4, 3, 2, -4, 6, -2, -3, 4, -4, 0, -4, 3, 4 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS Triangle = an infinite lower triangular Toeplitz matrix with the INVERTi transform of d(n) in every column; i.e. A159933: (1, 1, -1, 0, -1, 2, -1,...). Row sums of the resulting eigentriangle of d(n) = d(n). Sum of n-th row terms = rightmost term of next row. Right border = d(n) shifted. LINKS EXAMPLE First few rows of the triangle = 1; 1, 1; -1, 1, 2; 0, -1, -2, 2; -1, 0, -2, 2, 3; 2, -1, 0, -2, 3, 2; -1, 2, -2, 0, -3, 2, 4; -1, -1, 4, -2, 0, -2, 4, 2; 3, -1, -2, 4, -3, 0, -4, 2, 4; -4, 3, -2, -2, 6, -2, 0, -2, 4, 3; 2, -4, 6, -2, -3, 4, -4, 0, -4, 3, 4; 2, 2, -8, 6, -3, -2, 8, -2, 0, -3, 4, 2; -3, 2, 4, -8, 9, -2, -4, 4, -4, 0, -4, 2, 6; 0, -3, 4, 4, -12, 6, -4, -2, 8, -3, 0, -2, 6, 2; 0, 0, -6, 4, 6, -8, 12, -2, -4, 6, -4, 0, -6, 2, 4; 6, 0, 0, -6, 6, 4, -16, 6, -4, -3, 8, -2, 0, -2, 4, 4; ... Example: row 6 = (2, -1, 0, -2, 3, 2) = termwise products of (2, -1, 0, -1, 1, 1) and (1, 1, 2, 2, 3, 2); with dot product sum = 4 = d(6). CROSSREFS Sequence in context: A292475 A316716 A145462 * A229204 A067460 A159855 Adjacent sequences:  A159931 A159932 A159933 * A159935 A159936 A159937 KEYWORD tabl,sign AUTHOR Gary W. Adamson, Apr 26 2009 STATUS approved

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Last modified January 17 17:07 EST 2019. Contains 319235 sequences. (Running on oeis4.)