A174529 a(3n) = a(3n-1)+a(3n-2), a(3n+1) = a(3n)*a(3n-1), a(3n+2) = a(3n+1)/a(3n).

3, 5, 8, 40, 5, 45, 225, 5, 230, 1150, 5, 1155, 5775, 5, 5780, 28900, 5, 28905, 144525, 5, 144530, 722650, 5, 722655, 3613275, 5, 3613280, 18066400, 5, 18066405, 90332025, 5, 90332030, 451660150, 5, 451660155, 2258300775, 5, 2258300780, 11291503900, 5

Offset

1,1

Links

Colin Barker, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,6,0,0,-5).

Formula

From Colin Barker, Mar 23 2017: (Start)

G.f.: x*(3 + 5*x + 8*x^2 + 22*x^3 - 25*x^4 - 3*x^5) / ((1 - x)*(1 + x + x^2)*(1 - 5*x^3)).

a(n) = 6*a(n-3) - 5*a(n-6) for n>6.

(End)

Prog

(PARI) Vec(x*(3 + 5*x + 8*x^2 + 22*x^3 - 25*x^4 - 3*x^5) / ((1 - x)*(1 + x + x^2)*(1 - 5*x^3)) + O(x^60)) \\ Colin Barker, Mar 23 2017

Crossrefs

Sequence in context: A353605 A027520 A195548 * A174442 A109342 A121371

Adjacent sequences: A174526 A174527 A174528 * A174530 A174531 A174532

Keyword

nonn,easy

Author

Giovanni Teofilatto, Mar 21 2010

Extensions

a(39) corrected by Colin Barker, Mar 23 2017

Status

approved