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A135208 a(n) = Sum_digits{C(n,Sum_digits[a(n-1)]}, with a(0)=1. 1


%S 1,1,2,3,4,5,6,7,8,9,1,2,12,16,12,14,21,14,27,29,29,24,21,16,18,29,29,

%T 36,30,18,21,22,23,24,25,26,18,22,24,24,33,42,37,46,50,27,23,33,21,19,

%U 37,48,52,26,36,33,36,60,36,42,28,42,37,36,43,42,51,60,33,46,49,64,45

%N a(n) = Sum_digits{C(n,Sum_digits[a(n-1)]}, with a(0)=1.

%H G. C. Greubel, <a href="/A135208/b135208.txt">Table of n, a(n) for n = 0..1000</a>

%p P:=proc(n) local a,i,k,w; a:=1; print(a); for i from 1 by 1 to n do w:=0; k:=a; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; k:=binomial(i,w); w:=0; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; a:=w; print(w); od; end: P(100);

%t nxt[{n_,a_}]:={n+1,Total[IntegerDigits[Binomial[n+1,Total[ IntegerDigits[ a]]]]]}; Transpose[NestList[nxt,{0,1},75]][[2]] (* _Harvey P. Dale_, Apr 24 2013 *)

%Y Cf. A128936, A129630, A129631, A130843.

%K base,easy,nonn

%O 0,3

%A _Paolo P. Lava_, Dec 03 2007

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Last modified March 29 05:39 EDT 2020. Contains 333105 sequences. (Running on oeis4.)