A037612 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2.

1, 8, 42, 211, 1058, 5292, 26461, 132308, 661542, 3307711, 16538558, 82692792, 413463961, 2067319808, 10336599042, 51682995211, 258414976058, 1292074880292, 6460374401461, 32301872007308, 161509360036542, 807546800182711

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Index entries for 5-automatic sequences.

Index entries for linear recurrences with constant coefficients, signature (5,0,1,-5).

Formula

G.f.: x*(1+x)*(2*x+1) / ( (x-1)*(5*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007091(a(n)) = A037617(n). - R. J. Mathar, Apr 27 2015

Prog

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -5, 1, 0, 5]^(n-1)*[1; 8; 42; 211])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A276265 A249977 A037710 * A346980 A047759 A047772

Adjacent sequences: A037609 A037610 A037611 * A037613 A037614 A037615

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved