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 A118045 Triangle T, read by rows, equal to a diagonal bisection of A118032 such that diagonal n of T equals diagonal 2n+1 of A118032: T(n,k) = A118032(2n+1-k,k); also equals the matrix product of A118032 and SHIFT_UP(A118032). 17
 1, 3, 2, 9, 8, 3, 26, 28, 15, 4, 73, 86, 57, 24, 5, 191, 250, 192, 96, 35, 6, 500, 696, 567, 356, 145, 48, 7, 1234, 1824, 1683, 1060, 590, 204, 63, 8, 3051, 4754, 4392, 3344, 1765, 906, 273, 80, 9, 7201, 11562, 12084, 8672, 5895, 2718, 1316, 352, 99, 10, 16995 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS EXAMPLE Triangle begins: 1; 3, 2; 9, 8, 3; 26, 28, 15, 4; 73, 86, 57, 24, 5; 191, 250, 192, 96, 35, 6; 500, 696, 567, 356, 145, 48, 7; 1234, 1824, 1683, 1060, 590, 204, 63, 8; 3051, 4754, 4392, 3344, 1765, 906, 273, 80, 9; 7201, 11562, 12084, 8672, 5895, 2718, 1316, 352, 99, 10; ... which is formed from the odd-indexed diagonals of triangle A118032, which starts: 1; 1, 1; 2, 2, 1; 3, 4, 3, 1; 6, 8, 6, 4, 1; 9, 14, 15, 8, 5, 1; ... Let U = SHIFT_UP(A118032), shifting columns of A118032 up 1 row and dropping the main diagonal, so that U = 1; 2, 2; 3, 4, 3; 6, 8, 6, 4; 9, 14, 15, 8, 5; 16, 28, 24, 24, 10, 6; ... Then the matrix product A118032*U equals this triangle. CROSSREFS . columns: A118046, A118047, A118048; A118049 (row sums); related triangles: A118032, A118040. Sequence in context: A124003 A159588 A321572 * A276023 A268822 A201926 Adjacent sequences:  A118042 A118043 A118044 * A118046 A118047 A118048 KEYWORD nonn,tabl AUTHOR Paul D. Hanna, Apr 10 2006 STATUS approved

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Last modified September 19 04:39 EDT 2019. Contains 327187 sequences. (Running on oeis4.)