A037875 - OEIS

A037875

(1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*7^i} is base 7 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m.

0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 3, 2, 1, 0, 0, 0, 0, 4, 3, 2, 1, 0, 0, 0, 5, 4, 3, 2, 1, 0, 0, 6, 5, 4, 3, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 3, 2, 1, 0, 0, 0, 0, 4, 3, 2, 1, 0, 0, 0, 5, 4, 3, 2, 1, 0, 0

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OFFSET

1,14

LINKS

Table of n, a(n) for n=1..90.

MAPLE

A037875 := proc(n)

local a, dgs, dgsE ;

a := 0 ;

dgs := convert(n, base, 7);

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: A219480 A277627 A037857 * A057764 A010108 A033782

Adjacent sequences: A037872 A037873 A037874 * A037876 A037877 A037878

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

EXTENSIONS

Definition swapped with A037884. - R. J. Mathar, Oct 19 2015

STATUS

approved