A037873 (1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*5^i} is base 5 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m.
0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 3, 2, 1, 0, 0, 4, 3, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 3, 2, 1, 0, 0, 4, 3, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 3, 2, 1, 0, 0, 4, 3, 2, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 2, 1, 1, 1, 3
Offset: 1
Programs
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Maple
A037873 := proc(n) local a,dgs,dgsE ; a := 0 ; dgs := convert(n,base,5); 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
Extensions
Definition swapped with A037882. - R. J. Mathar, Oct 19 2015
Comments