cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A010065 a(n+1) = a(n) + sum of digits in base 4 representation of a(n), with a(0) = 1.

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%I A010065 #26 Oct 31 2024 00:56:23
%S A010065 1,2,4,5,7,11,16,17,19,23,28,32,34,38,43,50,55,62,70,74,79,86,91,98,
%T A010065 103,110,118,125,133,137,142,149,154,161,166,173,181,188,196,200,205,
%U A010065 212,217,224,229,236,244,251,262,266,271,278,283,290,295
%N A010065 a(n+1) = a(n) + sum of digits in base 4 representation of a(n), with a(0) = 1.
%D A010065 S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 2.24.
%H A010065 Donovan Johnson, <a href="/A010065/b010065.txt">Table of n, a(n) for n = 0..10000</a>
%H A010065 <a href="/index/Coi#Colombian">Index entries for Colombian or self numbers and related sequences</a>
%F A010065 a(n+1) = A230631(a(n)). - _Reinhard Zumkeller_, Mar 20 2015
%o A010065 (Haskell)
%o A010065 a010065 n = a010065_list !! n
%o A010065 a010065_list = iterate a230631 1  -- _Reinhard Zumkeller_, Mar 20 2015
%Y A010065 Cf. A003052, A010061, A010062, A010064, A004207.
%Y A010065 Related base-4 sequences:  A053737, A230631, A230632, A010064, A230633, A230634, A230635, A230636, A230637, A230638, A010065 (trajectory of 1)
%K A010065 nonn,base
%O A010065 0,2
%A A010065 _Leonid Broukhis_
%E A010065 More terms from Neven Juric, Apr 11 2008