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A257478 Distance of positions of first and last occurrence of n in A256918.

%I A257478 #10 May 03 2015 13:49:04
%S A257478 1,2,6,7,1,3,1,4,10,13,1,4,1,1,1,21,1,24,1,27,1,1,1,10,1,1,26,15,1,11,
%T A257478 1,22,1,1,1,5,1,1,1,19,1,43,1,2,1,1,1,1,1,55,1,2,1,20,1,39,1,1,1,13,1,
%U A257478 1,32,42,1,11,1,2,1,67,1,26
%N A257478 Distance of positions of first and last occurrence of n in A256918.
%C A257478 a(n) = A257475(n) - A257120(n).
%e A257478 Let w(n) = A257218(n),
%e A257478 u(n) = A257120(n), xx'(n) = (w(u(n)),w(u(n)+1)),
%e A257478 v(n) = A257475(n), yy'(n) = (w(v(n)),w(v(n)+1)):
%e A257478 . ----+------+------+------++--------------+------------+---------+
%e A257478 .   n | a(n) | u(n) | v(n) ||       xx'(n) |     yy'(n) | ... gcd |
%e A257478 . ----+------+------+------++--------------+------------+---------+
%e A257478 .   1 |    1 |    1 |    2 ||     (1,   2) |   (2,   3) |       1 |
%e A257478 .   2 |    2 |    4 |    6 ||     (6,   4) |   (8,  10) |       2 |
%e A257478 .   3 |    6 |    3 |    9 ||     (3,   6) |  (15,   9) |       3 |
%e A257478 .   4 |    7 |    5 |   12 ||     (4,   8) |  (12,  16) |       4 |
%e A257478 .   5 |    1 |    7 |    8 ||    (10,   5) |   (5,  15) |       5 |
%e A257478 .   6 |    3 |   11 |   14 ||    (18,  12) |  (24,  30) |       6 |
%e A257478 .   7 |    1 |   29 |   30 ||    (70,   7) |   (7,  14) |       7 |
%e A257478 .   8 |    4 |   13 |   17 ||    (16,  24) |  (40,  32) |       8 |
%e A257478 .   9 |   10 |   10 |   20 ||     (9,  18) |  (36,  27) |       9 |
%e A257478 .  10 |   13 |   15 |   28 ||    (30,  20) |  (50,  70) |      10 |
%e A257478 .  11 |    1 |  122 |  123 ||   (660,  11) |  (11,  22) |      11 |
%e A257478 .  12 |    4 |   19 |   23 ||    (48,  36) |  (72,  60) |      12 |
%e A257478 .  13 |    1 |  200 |  201 ||  (1092,  13) |  (13,  26) |      13 |
%e A257478 .  14 |    1 |   31 |   32 ||    (14,  28) |  (28,  42) |      14 |
%e A257478 .  15 |    1 |   24 |   25 ||    (60,  45) |  (45,  75) |      15 |
%e A257478 .  16 |   21 |   18 |   39 ||    (32,  48) | (112,  64) |      16 |
%e A257478 .  17 |    1 |  299 |  300 ||  (2142,  17) |  (17,  34) |      17 |
%e A257478 .  18 |   24 |   22 |   46 ||    (54,  72) |  (90, 108) |      18 |
%e A257478 .  19 |    1 |  824 |  825 || (10260,  19) |  (19,  38) |      19 |
%e A257478 .  20 |   27 |   16 |   43 ||    (20,  40) |  (80, 100) |      20 |
%e A257478 .  21 |    1 |   33 |   34 ||    (42,  21) |  (21,  63) |      21 |
%e A257478 .  22 |    1 |  124 |  125 ||    (22,  44) |  (44,  66) |      22 |
%e A257478 .  23 |    1 |  945 |  946 || (12420,  23) |  (23,  46) |      23 |
%e A257478 .  24 |   10 |   41 |   51 ||    (96, 120) | (144, 168) |      24 |
%e A257478 .  25 |    1 |   26 |   27 ||    (75,  25) |  (25,  50) |      25 | .
%o A257478 (Haskell)
%o A257478 a257478 n = a257475 n - a257120 n
%Y A257478 Cf. A256918, A257120, A257475, A257218.
%K A257478 nonn
%O A257478 1,2
%A A257478 _Reinhard Zumkeller_, Apr 25 2015
%E A257478 a(37)-a(72) from _Hiroaki Yamanouchi_, May 03 2015