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 A174714 Triangle read by rows, Q*M; Q = an infinite lower triangular matrix with A000726 shifted down thrice, M = triangle A174712, the diagonalized variant of A000041. 6
 1, 1, 2, 2, 1, 4, 1, 5, 2, 7, 2, 2, 9, 4, 2, 13, 5, 4, 16, 7, 4, 3, 22, 9, 8, 3, 27, 13, 10, 6, 36, 16, 14, 6, 5, 44, 22, 18, 12, 5, 57, 27, 26, 15, 10 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Refer to comments in A174713. Row sums = A000041, the partition numbers. LINKS Table of n, a(n) for n=0..44. FORMULA Let Q = an infinite lower triangular matrix with A000726, (Euler transform of [1,1,0,1,1,0,...]) in each column shifted down thrice from the (k-1)-th column, excepting column 0. Let M = triangle A174712, the diagonalized variant of A000041. Then triangle A174714 = Q*M. EXAMPLE First few rows of the triangle = 1; 1; 2; 2, 1; 4, 1; 5, 2; 7, 2, 2; 9, 4, 2; 13, 5, 4; 16, 7, 4, 3; 22, 9, 8, 3; 27, 13, 10, 6; 36, 16, 14, 6, 5; 44, 22, 18, 12, 5; 57, 27, 26, 15, 10; ... CROSSREFS Cf. A000041, A000726, A174712, A174713, A174715. Sequence in context: A325612 A054995 A018219 * A116633 A263232 A134666 Adjacent sequences: A174711 A174712 A174713 * A174715 A174716 A174717 KEYWORD nonn,tabf AUTHOR Gary W. Adamson, Mar 27 2010 STATUS approved

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Last modified April 20 12:36 EDT 2024. Contains 371844 sequences. (Running on oeis4.)