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 A091913 Triangle read by rows: a(n,k) = C(n,k)*(2^(n-k) - 1) for k=n, where k=0...max(n-1,0). 1
 0, 1, 3, 2, 7, 9, 3, 15, 28, 18, 4, 31, 75, 70, 30, 5, 63, 186, 225, 140, 45, 6, 127, 441, 651, 525, 245, 63, 7, 255, 1016, 1764, 1736, 1050, 392, 84, 8, 511, 2295, 4572, 5292, 3906, 1890, 588, 108, 9, 1023, 5110, 11475, 15240, 13230, 7812, 3150, 840, 135, 10, 2047 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Row lengths are 1,1,2,3,4,... = A028310. - M. F. Hasler, Jul 21 2012 Rows: Sum of the n-th row = A001047(n); Sum of the n-th row excluding column 0 = A028243(n+1). Columns: a(n,0) = A000225(n); a(n,1) = A058877(n). Diagonals: a(n,n-2) = A045943(n-1). Also note that the sums of the antidiagonals = A006684. As an infinite lower triangular matrix * the Bernoulli numbers as a vector (Cf. A027641) = the natural numbers: [1, 2, 3,...]. The same matrix * the Bernoulli number version starting [1, 1/2, 1/6,...] = A001787: (1, 4, 12, 32,...). - Gary W. Adamson, Mar 13 2012 LINKS FORMULA For k>=n, a(n, k) = 0; for k

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