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A277316 Prime-factorization representation of the prime-th Stern-polynomial: a(n) = A260443(A000040(n)). 6

%I

%S 3,6,18,30,270,450,630,6750,9450,22050,2310,3543750,4961250,53156250,

%T 727650,173643750,25467750,2668050,40020750,891371250,9550406250,

%U 1400726250,3190703906250,467969906250,173423250,16378946718750,1715889656250,245684200781250,25738344843750,8497739250,510510,6763506750,66919696593750

%N Prime-factorization representation of the prime-th Stern-polynomial: a(n) = A260443(A000040(n)).

%C If the conjecture by Ulas and Ulas is true, then all these terms can be found from A206284 and then this is also a subsequence of A277318.

%H Antti Karttunen, <a href="/A277316/b277316.txt">Table of n, a(n) for n = 1..1028</a>

%H Maciej Ulas and Oliwia Ulas, <a href="http://arxiv.org/abs/1102.5109">On certain arithmetic properties of Stern polynomials</a>, arXiv:1102.5109 [math.CO], 2011.

%F a(n) = A260443(A000040(n)).

%F Other identities.

%F For all n >= 1, a(A059305(n)) = A002110(A000043(n)).

%o (Scheme) (define (A277316 n) (A260443 (A000040 n)))

%Y Cf. A000040, A206284, A260443.

%Y Cf. A277317 (same sequence sorted into ascending order) is a subsequence of A277319.

%Y Differs from A277318 for the first time at n=10, where A277318(10) = 15750, a term which is missing from this sequence.

%K nonn

%O 1,1

%A _Antti Karttunen_, Oct 10 2016

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Last modified July 29 17:41 EDT 2021. Contains 346346 sequences. (Running on oeis4.)