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A037612 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2. 0
1, 8, 42, 211, 1058, 5292, 26461, 132308, 661542, 3307711, 16538558, 82692792, 413463961, 2067319808, 10336599042, 51682995211, 258414976058, 1292074880292, 6460374401461, 32301872007308, 161509360036542, 807546800182711 (list; graph; refs; listen; history; text; internal format)
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 * A047759 A047772 A204565

Adjacent sequences:  A037609 A037610 A037611 * A037613 A037614 A037615

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified August 1 14:44 EDT 2021. Contains 346393 sequences. (Running on oeis4.)