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A037611 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2. 0
1, 7, 30, 121, 487, 1950, 7801, 31207, 124830, 499321, 1997287, 7989150, 31956601, 127826407, 511305630, 2045222521, 8180890087, 32723560350, 130894241401, 523576965607, 2094307862430, 8377231449721, 33508925798887 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..23.

Index entries for 2-automatic sequences.

Index entries for linear recurrences with constant coefficients, signature (4,0,1,-4).

FORMULA

G.f.: x*(1+x)*(2*x+1) / ( (x-1)*(4*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007090(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; -4, 1, 0, 4]^(n-1)*[1; 7; 30; 121])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

CROSSREFS

Sequence in context: A055269 A026631 A037709 * A171472 A220720 A024311

Adjacent sequences:  A037608 A037609 A037610 * A037612 A037613 A037614

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified June 24 02:56 EDT 2021. Contains 345415 sequences. (Running on oeis4.)