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A164743 Digital root of 3*A000045(n). 0
3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Period 8.

LINKS

Table of n, a(n) for n=1..32.

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

FORMULA

a(n+1) = sum of digits of a(n) + a(n-1).

a(n)=(1/224)*{-123*(n mod 8)+129*[(n+1) mod 8]+45*[(n+2) mod 8]+129*[(n+3) mod 8]-39*[(n+4) mod 8]-39*[(n+5) mod 8]+45*[(n+6) mod 8]+213*[(n+7) mod 8]}, with n>=1 [From Paolo P. Lava, Dec 03 2009]

a(n) = A010888(3*A000045(n)). - R. J. Mathar, Nov 03 2016

G.f.: -3*x*(1+x+2*x^2+3*x^3+2*x^4+2*x^5+x^6+3*x^7) / ( (x-1)*(1+x)*(x^2+1)*(x^4+1) ). - R. J. Mathar, Nov 03 2016

CROSSREFS

Cf. A049341,A000045,A030132,A082115

Sequence in context: A240213 A205970 A104715 * A110769 A093445 A098358

Adjacent sequences:  A164740 A164741 A164742 * A164744 A164745 A164746

KEYWORD

nonn,base,easy

AUTHOR

Mark Dols, Aug 24 2009

STATUS

approved

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Last modified May 12 16:56 EDT 2021. Contains 343825 sequences. (Running on oeis4.)