A222582 Smallest numbers k such that A006577(n+k) = A006577(n) + A006577(k), or 0 if no such number exists.
12, 2, 0, 0, 1152, 24, 26, 22, 16, 12, 0, 10, 10, 0, 10, 9, 0, 0, 0, 0, 0, 8, 0, 6, 8, 7, 6094, 8, 8, 8, 456, 8, 6, 249, 268, 133, 6, 131, 120, 6, 301, 7, 96, 6, 6, 112, 0, 79, 74, 77, 6, 6, 86, 0, 0, 67, 70, 65, 68, 6, 6, 84, 84, 6, 58, 61, 56, 6, 66, 6, 58
Offset: 1
Keywords
Examples
a(12)=10 because A006577(12+10) = 15, and A006577(12) + A006577(10) = 9 + 6 = 15.
Programs
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Maple
lst:={ }:C:= proc(n) a := 0 ; x := n ; while x > 1 do if type(x, 'even') then x := x/2:a:=a+1: else x := 3*x+1 ; a := a+1 ; end if; end do; a ; end proc: for n from 1 to 73 do: ii:=0:for k from 2 to 100000 while(ii=0) do:z:=n+k : if C(z)=C(n)+C(k) then ii:=1: printf ( "%d %d \n",n,k):else fi:od: if ii=0 then printf ( "%d %d \n",n,0):else fi:od:
Comments