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Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is base 6 representation of n.
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%I #12 Apr 18 2022 12:16:14

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

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

%U 2,1,0,2,2,2,2,2,2,2,1,1,1,1,1,2,1,0,0,0,0,3

%N Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is base 6 representation of n.

%H Harvey P. Dale, <a href="/A037856/b037856.txt">Table of n, a(n) for n = 1..1000</a>

%p A037856 := proc(n)

%p a := 0 ;

%p dgs := convert(n,base,6);

%p for i from 2 to nops(dgs) do

%p if op(i,dgs)>op(i-1,dgs) then

%p a := a+op(i,dgs)-op(i-1,dgs) ;

%p end if;

%p end do:

%p a ;

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

%t Table[Total[Abs[Select[Differences[IntegerDigits[n,6]],#<0&]]],{n,100}] (* _Harvey P. Dale_, Apr 18 2022 *)

%K nonn,base

%O 1,12

%A _Clark Kimberling_

%E Definition swapped with A037847. - _R. J. Mathar_, Oct 19 2015