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A292218 The n-th iteration of (k -> k + sum of base-100 digits of k) applied to n. 0

%I

%S 2,8,24,64,160,285,203,266,450,538,550,642,566,488,678,958,1120,945,

%T 686,1241,1032,1144,1339,1671,1229,1499,1377,1492,1945,1515,1745,2108,

%U 1650,2326,2110,2106,2558,2105,2049,2548,2590,2247,2786,2750

%N The n-th iteration of (k -> k + sum of base-100 digits of k) applied to n.

%C Main diagonal of square array A(n, k), where A(n, k) gives the result of k applications of the map x -> x + sum of base-100 digits of x, starting at n. - _Felix Fröhlich_, Sep 12 2017

%e n=6: 6+6=12, 12+12=24, 24+24=48, 48+48=96, 96+96=192, 192+92+(0)1=285. After 6 iterations you get 285, so a(6)=285.

%t Table[Nest[# + Total@ IntegerDigits[#, 100] &, n, n], {n, 44}] (* _Michael De Vlieger_, Sep 11 2017 *)

%o (PARI) a(n) = my(x=n); for (k=1, n, x += vecsum(digits(x, 100))); x; \\ _Michel Marcus_, Sep 12 2017

%Y Cf. A286660, A292202.

%K nonn,base

%O 1,1

%A _Peter Weiss_, Sep 11 2017

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Last modified May 23 11:05 EDT 2019. Contains 323513 sequences. (Running on oeis4.)