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.

A284563 a(n) = A247503(A277324(n)).

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%I A284563 #7 Apr 06 2017 21:21:52
%S A284563 2,2,2,10,10,10,50,10,10,250,250,50,250,250,50,110,110,250,6250,1250,
%T A284563 1250,31250,6250,550,2750,6250,6250,13750,2750,2750,6050,110,110,
%U A284563 30250,68750,13750,343750,781250,156250,151250,151250,781250,19531250,1718750,343750,8593750,756250,6050,30250,756250,1718750,3781250,3781250,8593750,18906250,151250
%N A284563 a(n) = A247503(A277324(n)).
%H A284563 Antti Karttunen, <a href="/A284563/b284563.txt">Table of n, a(n) for n = 0..4096</a>
%F A284563 a(n) = A247503(A277324(n)).
%F A284563 a(n) = A284553((2*n)+1).
%F A284563 Other identities. For all n >= 0:
%F A284563 A001222(a(n)) = A284565(n).
%t A284563 a[n_] := a[n] = Which[n < 2, n + 1, EvenQ@ n, Times @@ Map[#1^#2 & @@ # &, FactorInteger[#] /. {p_, e_} /; e > 0 :> {Prime[PrimePi@ p + 1], e}] - Boole[# == 1] &@ a[n/2], True, a[#] a[# + 1] &[(n - 1)/2]]; Table[Times @@ (FactorInteger[#] /. {p_, e_} /; e > 0 :> (p^Mod[PrimePi@ p, 2])^e) &@ a[2 n + 1], {n, 0, 55}] (* _Michael De Vlieger_, Apr 05 2017 *)
%o A284563 (PARI) A284563(n) = A284553(n+n+1); \\ Other code as in A284553.
%o A284563 (Scheme)
%o A284563 (define (A284563 n) (A247503 (A277324 n)))
%o A284563 (define (A284563 n) (A284553 (+ n n 1)))
%Y A284563 Odd bisection of A284553.
%Y A284563 Cf. A001222, A247503, A277324, A284564, A284565.
%K A284563 nonn
%O A284563 0,1
%A A284563 _Antti Karttunen_, Mar 29 2017