# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a036470 Showing 1-1 of 1 %I A036470 #17 May 14 2018 20:25:22 %S A036470 1,2,3,4,6,7,11,12,16,17,23,26,31,37,43,48,58,64,74,82,94,106,122,133, %T A036470 146,165,183,202,224,244,267,294,325,355,389,416,453,500,541,584,636, %U A036470 680,737,795,859,922,995,1068,1149,1233,1324,1412,1523,1616,1731,1845 %N A036470 a(n) is the number of distinct possible values of d(k), the number of divisors of k, among numbers k whose binary order (A029837) does not exceed n. %H A036470 David A. Corneth, Table of n, a(n) for n = 0..63 %e A036470 If 1 <= k <= 128, i.e., the binary order of k is g(k) <= 7, then d(k) takes 12 values {1,2,3,4,5,6,7,8,9,10,12,16}; thus a(7) = 12. The maximal value (16) appears as a(7) in A036451. %Y A036470 Cf. A000005, A005179, A029837, A036471, A036493. %K A036470 nonn %O A036470 0,2 %A A036470 _Labos Elemer_ %E A036470 a(20)-a(21) corrected by _David A. Corneth_, May 12 2018 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE