A329114 - OEIS

A329114

a(n) = floor(A026532(n)/5).

0, 0, 1, 3, 7, 21, 43, 129, 259, 777, 1555, 4665, 9331, 27993, 55987, 167961, 335923, 1007769, 2015539, 6046617, 12093235, 36279705, 72559411, 217678233, 435356467, 1306069401, 2612138803, 7836416409, 15672832819, 47018498457, 94036996915, 282110990745

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OFFSET

1,4

LINKS

Table of n, a(n) for n=1..32.

Index entries for linear recurrences with constant coefficients, signature (0,7,0,-6).

FORMULA

a(n+1) = 3*a(n) if n is odd, a(n+1) = 2*a(n)+1 if n is even.

a(n) = f(3^f(n/2) * 2^f((n-1)/2) / 5), where f = floor.

G.f.: (x^2 (1 + 3 x))/((-1 + x) (1 + x) (-1 + 6 x^2)).

a(n) = 7*a(n-2) - 6*a(n-4).

MATHEMATICA