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A254070 a(n) = -1 + (3/2)^(-1 + v(1 + F(4*n - 3)))*(1 + F(4*n - 3)), where v(y) is the 2-adic valuation of y, F(x) = (3*x + 1)/2^v(3*x + 1), and x == 1 (mod 2). 3

%I

%S 1,1,17,5,13,1,29,17,25,17,161,17,37,5,65,53,49,13,125,29,61,1,101,53,

%T 73,29,269,41,85,17,137,161,97,25,233,53,109,17,173,89,121,161,1457,

%U 65,133,17,209,161,145,37,341,77,157,5,245,125,169,65,593,89,181,53,281,485,193,49,449,101,205,13

%N a(n) = -1 + (3/2)^(-1 + v(1 + F(4*n - 3)))*(1 + F(4*n - 3)), where v(y) is the 2-adic valuation of y, F(x) = (3*x + 1)/2^v(3*x + 1), and x == 1 (mod 2).

%F a(n) = 4*A257480(n) - 3. - _L. Edson Jeffery_, Mar 29 2021

%t v[y_] := IntegerExponent[y, 2]; f[x_] := (3*x + 1)/2^v[3*x + 1]; s[n_] := -1 + (3/2)^(-1 + v[1 + f[4*n - 3]])*(1 + f[4*n - 3]); Table[s[n], {n, 70}] (* - _L. Edson Jeffery_, Mar 29 2021 *)

%Y Cf. A257480, A253676, A254068.

%K nonn

%O 1,3

%A _L. Edson Jeffery_, May 03 2015

%E New name by _L. Edson Jeffery_, Mar 29 2021

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Last modified September 25 18:44 EDT 2021. Contains 347659 sequences. (Running on oeis4.)