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A321536 Write n in base 10, lengthen all the runs of successive identical digits by 1. 3

%I #23 Nov 13 2018 17:47:48

%S 0,11,22,33,44,55,66,77,88,99,1100,111,1122,1133,1144,1155,1166,1177,

%T 1188,1199,2200,2211,222,2233,2244,2255,2266,2277,2288,2299,3300,3311,

%U 3322,333,3344,3355,3366,3377,3388,3399,4400,4411,4422,4433,444,4455,4466

%N Write n in base 10, lengthen all the runs of successive identical digits by 1.

%C A321537(a(n)) = n. Compare A321538.

%H Giovanni Resta, <a href="/A321536/b321536.txt">Table of n, a(n) for n = 0..10000</a>

%e 10 -> 1100, so a(10)=1100; 11->111, so a(11)=111.

%t a[n_] := FromDigits@ Flatten[ Append[ #, Last@#] & /@ Split@ IntegerDigits[ n]]; a /@ Range[0, 46] (* _Giovanni Resta_, Nov 13 2018 *)

%o (Python)

%o from re import split

%o def A321536(n):

%o return int(''.join(d+d[0] for d in split('(0+)|(1+)|(2+)|(3+)|(4+)|(5+)|(6+)|(7+)|(8+)|(9+)',str(n)) if d != '' and d != None)) # _Chai Wah Wu_, Nov 13 2018

%o (PARI) a(n)={my(v=digits(n)); my(L=List()); for(i=1, #v, my(t=v[i]); if(i==1 || t<>v[i-1], listput(L,t)); listput(L,t)); fromdigits(Vec(L))} \\ _Andrew Howroyd_, Nov 13 2018

%Y A base-10 analog of A175046.

%Y Cf. A321537, A321538.

%K nonn,base,easy

%O 0,2

%A _N. J. A. Sloane_, Nov 13 2018

%E More terms from _Giovanni Resta_, Nov 13 2018

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Last modified April 19 04:12 EDT 2024. Contains 371782 sequences. (Running on oeis4.)