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 A145007 Eigentriangle of the partition numbers. 2
 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 3, 0, -1, 0, 0, 3, 5, 0, -1, 0, 0, -1, 0, 0, 5, 7, 0, -1, 0, -2, 0, 0, 7, 11, 0, 0, -1, 0, -3, 0, 0, 11, 15, 0, 0, 0, -2, 0, -5, 0, 0, 15, 22, 0, 0, 0, 0, -3, 0, -7, 0, 0, 22, 30, 0, 0, 0, 0, 0, -5, 0, -11, 0, 0, 30, 42, 0, 1, 0, 0, 0, 0, -7, 0, -15, 0, 0, 42, 56 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Sum of n-th row terms = rightmost nonzero term of next row. Row sums = the partition numbers, A000041, as well as the rightmost diagonal with no zeros. LINKS FORMULA Triangle read by rows, termwise products of A000041 (the partition numbers); and the partition number generator, A145006. EXAMPLE First few rows of the triangle = 1; 1, 0; 1, 1, 0; 0, 1, 2, 0; 0, 0, 2, 3, 0; -1, 0, 0, 3, 5, 0; 0, -1, 0, 0, 5, 7, 0; -1, 0, -2, 0, 0, 7, 11, 0,; 0, -1, 0, -3, 0, 0, 11, 15, 0; 0, 0, -2, 0, -5, 0, 0, 15, 22, 0; 0, 0, 0, -3, 0, -7, 0, 0, 22, 30, 0; 0, 0, 0, 0, -5, 0, -11, 0, 0, 30, 42, 0; 1, 0, 0, 0, 0, -7, 0, -15, 0, 0, 42, 56, 0; 0, 1, 0, 0, 0, 0, -11, 0, -22, 0, 0, 56, 77, 0; 0, 0, 2, 0, 0, 0, 0, -15, 0, -30, 0, 0, 77, 101, 0; ... Example: row 4 = (0, 0, 2, 3) = termwise products of (0, 0, 1, 1) and (1, 1, 2, 3), where (0, 0, 1, 1) = row 4 of triangle A145006. The partition numbers = (1, 1, 2, 3, 5, 7, 11, 15,...). CROSSREFS Sequence in context: A057108 A063958 A126164 * A308376 A228616 A151670 Adjacent sequences:  A145004 A145005 A145006 * A145008 A145009 A145010 KEYWORD eigen,tabl,sign AUTHOR Gary W. Adamson, Sep 28 2008 STATUS approved

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Last modified October 22 12:47 EDT 2019. Contains 328318 sequences. (Running on oeis4.)