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 A174740 Triangle read by rows, A027293 * A147843, row sums = A000203, left border = the partition numbers, A000041 3
 1, 1, 2, 2, 2, 3, 4, 5, 6, -5, 7, 10, -5, 11, 14, -10, -7, 15, 22, -15, 7, 22, 30, -25, -14, 22, 30, -25, -14, 30, 44, -35, -21, 42, 60, -55, -35, 56, 84, -75, -49, 12, 77, 112, -110, -77, 12, 101, 154, -150, -105, 24, 13, 202, -210, -54, 36, 15 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Row sums = sigma(n), left border = the partition numbers, A000041 LINKS FORMULA Given A027293, an infinite lower triangular Toeplitz matrix with the partition numbers in every column, and A147843 = M; a diagonalized variant of Euler's pentagonal numbers, A174740 = Q*M. EXAMPLE First few rows of the triangle = 1; 1, 2; 2, 2; 3, 4; 5, 6, -5; 7, 10, -5; 11, 14, -10, -7; 15, 22, -15, -7; 22, 30, -25, -14; 30, 44, -35, -21; 42, 60, -55, -35; 56, 84, -75, -49, 12; 77, 112, -110, -77, 12; 101, 154, -150, 0105, 24; 135, 202, -210, -54, 36, 15; 176, 270, -280, 210, 60, 15; 231, 352, -385, -294, 84, 30; 297, 462, -505, -392, 132, 45; ... CROSSREFS Cf. A027293, A147843, A000041, A000203 Sequence in context: A258741 A036016 A051918 * A163801 A323735 A233583 Adjacent sequences: A174737 A174738 A174739 * A174741 A174742 A174743 KEYWORD tabf,sign AUTHOR Gary W. Adamson, Mar 28 2010 STATUS approved

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Last modified November 29 15:30 EST 2022. Contains 358431 sequences. (Running on oeis4.)