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A261221 a(n) = number of steps to reach 0 when starting from k = n and repeatedly applying the map that replaces k with k - A053610(k), where A053610(k) = the number of positive squares needed to sum to k using the greedy algorithm. 7

%I #15 Mar 30 2017 21:58:21

%S 0,1,1,1,2,2,2,2,3,4,4,4,4,5,5,5,6,6,6,6,7,7,7,7,8,9,9,9,9,10,10,10,

%T 10,11,11,11,12,12,12,12,13,13,13,13,14,14,14,14,14,15,15,15,15,16,16,

%U 16,16,17,17,17,17,17,18,18,19,19,19,19,20,20,20,20,21,21,21,21,21,22,22,22,23,24,24,24,24,25,25,25,25,26,26,26,26,26,27,27,27,28,28,28,29

%N a(n) = number of steps to reach 0 when starting from k = n and repeatedly applying the map that replaces k with k - A053610(k), where A053610(k) = the number of positive squares needed to sum to k using the greedy algorithm.

%H Antti Karttunen, <a href="/A261221/b261221.txt">Table of n, a(n) for n = 0..10000</a>

%F a(0) = 0; for n >= 1, a(n) = 1 + a(A260740(n)).

%o (Scheme, with memoization-macro definec)

%o (definec (A261221 n) (if (zero? n) n (+ 1 (A261221 (A260740 n)))))

%Y Cf. A260740, A261222, A261223, A261224.

%Y Cf. also A260731, A261226.

%K nonn

%O 0,5

%A _Antti Karttunen_, Aug 12 2015

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