A284517 Periodic with period [1, 4, 3, 4, 1, 6] of length 6.

1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6, 1, 4, 3, 4, 1, 6

Offset: 1

Author

R. J. Mathar, Mar 28 2017

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (-1,0,1,1).

Crossrefs

Row 3 of A008307.

Cf. A284518.

Formula

G.f. -x*(1+5*x+7*x^2+6*x^3) / ( (x-1)*(1+x)*(1+x+x^2) ).

a(n+6) = a(n).

a(n) = (24 - ((n mod 6)^5 - 13*(n mod 6)^4 + 61*(n mod 6)^3 - 123*(n mod 6)^2 + 94*(n mod 6)))/4 for n>0. - Luce ETIENNE, Oct 19 2017