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a(n+1) = a(n) + floor(a(n)/7) with a(0) = 7.
4

%I #17 Dec 22 2024 10:31:17

%S 7,8,9,10,11,12,13,14,16,18,20,22,25,28,32,36,41,46,52,59,67,76,86,98,

%T 112,128,146,166,189,216,246,281,321,366,418,477,545,622,710,811,926,

%U 1058,1209,1381,1578,1803,2060,2354,2690,3074,3513,4014,4587,5242,5990

%N a(n+1) = a(n) + floor(a(n)/7) with a(0) = 7.

%H Paolo Xausa, <a href="/A182308/b182308.txt">Table of n, a(n) for n = 0..5000</a>

%t NestList[# + Floor[#/7] &, 7, 100] (* _Paolo Xausa_, Dec 22 2024 *)

%o (Python)

%o a=7

%o for i in range(55):

%o print(a, end=',')

%o a += a//7

%Y Cf. A061418, A100585, A182305, A182306, A182307.

%K nonn

%O 0,1

%A _Alex Ratushnyak_, Apr 23 2012