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A037879
a(n) = (1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*2^i} is the base-2 representation of n and {e(i)} are digits {d(i)} in nondecreasing order.
2
0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1
OFFSET
1,19
LINKS
FORMULA
a(2*n) = a(n). a(2*n+1) is either a(n) or a(n) + 1. - Robert Israel, Feb 08 2019
MAPLE
A037879 := proc(n)
local a, dgs, dgsE ;
a := 0 ;
dgs := convert(n, base, 2);
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: A319659 A050372 A037802 * A178535 A025449 A047988
KEYWORD
nonn,base
EXTENSIONS
Definition swapped with A037870. - R. J. Mathar, Oct 19 2015
STATUS
approved