Search: id:A098824 Results 1-1 of 1 results found. %I A098824 %S A098824 1,1,1,2,1,1,3,1,1,1,5,2,1,1,1,8,2,1,1,1,1,13,4,2,1,1,1,1,21,4,2,1,1,1, %T A098824 1,1,34,8,2,2,1,1,1,1,1,55,8,5,2,1,1,1,1,1,1,89,16,5,2,2,1,1,1,1,1,1, %U A098824 144,16,5,2,2,1,1,1,1,1,1,1,233,32,11,6,2,2,1,1,1,1,1,1,1,377,32,11,6, 2 %N A098824 Array read by antidiagonals: Minimizing absolutely ordered sequences of m-ary Huffman trees of maximum height; m > 1. %H A098824 Alex Vinokur, Fibonacci-Like Polynomials Produced by m-ary Huffman Codes for Absolutely Ordered Sequences, E-print, 2004, 10 pages. %F A098824 T[m, 0] = G[0, m-1], T[m, (i-1)*(m-1) + j] = G[i, m-1] where j = 1, 2, ..., (m-1); m > 1, i > 0. G[n, m] are Fibonacci-like polynomials defined by the recurrence relation G[0, m] = 1, G[1, m] = 1, G[2, m] = 2; G[n, m] = G[n-1, m] + m*G[n-2, m] when n > 2; m > 0. %e A098824 Top left corner of array: %e A098824 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 %e A098824 1 1 1 2 2 4 4 8 8 16 16 32 32 64 64 128 128 256 256 512 512 1024 1024 2048 2048 4096 %e A098824 1 1 1 1 2 2 2 5 5 5 11 11 11 26 26 26 59 59 59 137 137 137 314 314 314 725 %e A098824 1 1 1 1 1 2 2 2 2 6 6 6 6 14 14 14 14 38 38 38 38 94 94 94 94 246 %e A098824 1 1 1 1 1 1 2 2 2 2 2 7 7 7 7 7 17 17 17 17 17 52 52 52 52 52 %e A098824 1 1 1 1 1 1 1 2 2 2 2 2 2 8 8 8 8 8 8 20 20 20 20 20 20 68 %e A098824 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 9 9 9 9 9 9 9 23 23 23 23 %e A098824 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 10 10 10 10 10 10 10 10 26 %e A098824 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 11 11 11 11 11 11 11 %e A098824 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 12 12 12 12 12 %e A098824 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 13 13 13 %e A098824 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 14 %e A098824 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 %e A098824 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 %e A098824 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 %Y A098824 Sequence in context: A124021 A109626 A160182 this_sequence A124032 A137457 A007862 %Y A098824 Adjacent sequences: A098821 A098822 A098823 this_sequence A098825 A098826 A098827 %K A098824 easy,nonn,tabl %O A098824 0,4 %A A098824 Alex Vinokur (alexvn(AT)barak-online.net), Nov 02 2004 Search completed in 0.001 seconds