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A286387 a(n) = A002487(n^2). 3

%I #14 May 19 2023 01:46:23

%S 0,1,1,4,1,7,4,9,1,14,7,13,4,29,9,16,1,23,14,43,7,36,13,29,4,43,29,64,

%T 9,67,16,25,1,34,23,89,14,115,43,46,7,85,36,79,13,46,29,79,4,97,43,

%U 142,29,89,64,91,9,136,67,157,16,121,25,36,1,47,34,151,23,236,89,157,14,211,115,104,43,225,46,109,7,162,85,235,36,139,79,174,13,101,46

%N a(n) = A002487(n^2).

%C Conjecture: For all i >= 0, j >= 0: A103391(1+i) = A103391(1+j) => a(i) = a(j). This would be an implication of observation made at A286377, which has been checked up to n=2048. See also A286378.

%H Antti Karttunen, <a href="/A286387/b286387.txt">Table of n, a(n) for n = 0..8192</a>

%H <a href="/index/St#Stern">Index entries for sequences related to Stern's sequences</a>

%F a(n) = A002487(A000290(n)) = A002487(n^2).

%o (Scheme) (define (A286387 n) (A002487 (* n n)))

%o (Python)

%o from functools import reduce

%o def A286387(n): return sum(reduce(lambda x,y:(x[0],x[0]+x[1]) if int(y) else (x[0]+x[1],x[1]),bin(n**2)[-1:2:-1],(1,0))) if n else 0 # _Chai Wah Wu_, May 18 2023

%Y Cf. A000290, A002487, A103391, A286377, A286378.

%K nonn

%O 0,4

%A _Antti Karttunen_, May 09 2017

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Last modified April 23 14:49 EDT 2024. Contains 371914 sequences. (Running on oeis4.)