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A037881
(1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*4^i} is base 4 representation of n and e(i) are digits d(i) in nondecreasing order.
2
0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 3, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 3, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 3, 1, 1, 2, 3, 2, 2, 3, 4, 3, 3, 4, 5, 0, 1, 2, 3, 0, 0, 1, 2, 1, 1, 2
OFFSET
1,7
MAPLE
A037881 := proc(n)
local a, dgs, dgsE ;
a := 0 ;
dgs := convert(n, base, 4);
dgsE := sort(dgs) ;
for i from 1 to nops(dgs) do
a := a+ abs(op(i, dgs)-op(i, dgsE)) ;
end do:
a/2 ;
end proc: # R. J. Mathar, Oct 19 2015
CROSSREFS
Sequence in context: A343023 A337760 A037845 * A024326 A287619 A133698
KEYWORD
nonn,base
EXTENSIONS
Definition swapped with A037872. - R. J. Mathar, Oct 19 2015
STATUS
approved