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A054611
a(n) = Sum_{d|n} phi(d)*4^(n/d).
6
0, 4, 20, 72, 280, 1040, 4200, 16408, 65840, 262296, 1049680, 4194344, 16782000, 67108912, 268451960, 1073744160, 4295033440, 17179869248, 68719747320, 274877907016, 1099512679520, 4398046544304, 17592190238920, 70368744177752
OFFSET
0,2
LINKS
T. Pisanski, D. Schattschneider and B. Servatius, Applying Burnside's lemma to a one-dimensional Escher problem, Math. Mag., 79 (2006), 167-180. See V(n).
FORMULA
a(n) = n * A001868(n).
a(n) = Sum_{k=1..n} 4^gcd(n,k). - Ilya Gutkovskiy, Apr 16 2021
MAPLE
A054611:=proc(n) local k, t1; t1:=0; for k in divisors(n) do t1 := t1+phi(k)*4^(n/k); od: t1; end;
PROG
(PARI) a(n) = if(n==0, 0, sumdiv(n, d, eulerphi(d)*4^(n/d))); \\ Michel Marcus, Sep 19 2017
CROSSREFS
Column k=4 of A185651.
Row n=4 of A054619.
Cf. A001868.
Sequence in context: A303011 A197426 A061981 * A329174 A057333 A196432
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 16 2000
STATUS
approved