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A037886 a(n)=(1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*9^i} is the base 9 representation of n and e(i) are the digits d(i) in nondecreasing order. 2

%I #11 Dec 30 2023 16:51:02

%S 0,0,0,0,0,0,0,0,0,0,1,2,3,4,5,6,7,0,0,0,1,2,3,4,5,6,0,0,0,0,1,2,3,4,

%T 5,0,0,0,0,0,1,2,3,4,0,0,0,0,0,0,1,2,3,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,

%U 0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,3,4,5,6,7,8,0

%N a(n)=(1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*9^i} is the base 9 representation of n and e(i) are the digits d(i) in nondecreasing order.

%p A037886 := proc(n)

%p local a,dgs,dgsE ;

%p a := 0 ;

%p dgs := convert(n,base,9);

%p dgsE := sort(dgs) ;

%p for i from 1 to nops(dgs) do

%p a := a+ abs(op(i,dgs)-op(i,dgsE)) ;

%p end do:

%p a/2 ;

%p end proc: # _R. J. Mathar_, Oct 19 2015

%K nonn,base

%O 1,12

%A _Clark Kimberling_

%E Definition swapped with A037877. - _R. J. Mathar_, Oct 19 2015

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Last modified April 23 16:28 EDT 2024. Contains 371916 sequences. (Running on oeis4.)