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A190511 n+[nr/u]+[ns/u]+[nt/u];  r=golden ratio, s=r^2, t=r^3, u=r^4. 3
1, 3, 5, 7, 10, 12, 14, 16, 19, 21, 23, 25, 28, 30, 32, 34, 37, 39, 41, 43, 45, 48, 50, 52, 54, 57, 59, 61, 63, 66, 68, 70, 72, 75, 77, 79, 81, 83, 86, 88, 90, 92, 95, 97, 99, 101, 104, 106, 108, 110, 113, 115, 117, 119, 121, 124, 126, 128, 130, 133, 135, 137, 139, 142, 144, 146, 148, 151, 153, 155, 157, 159, 162, 164, 166, 168, 171, 173 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A190508:  a(n)=n+[nr]+[nr^2]+[nr^3]

A190509:  b(n)=[n/r]+n+[nr]+[nr^2]

A054770:  c(n)=[n/r^2]+[n/r]+n+[nr]

A190511:  d(n)=[n/r^3]+[n/r^2]+[n/r]+n

LINKS

Table of n, a(n) for n=1..78.

FORMULA

a(n) = A022839(n)-1. - Michel Dekking, May 04 2019

MATHEMATICA

(See A190508.)

CROSSREFS

Cf. A190508, A190509, A054770.

Sequence in context: A104309 A306683 A184586 * A260466 A033035 A047390

Adjacent sequences:  A190508 A190509 A190510 * A190512 A190513 A190514

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 11 2011

STATUS

approved

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Last modified October 16 21:10 EDT 2019. Contains 328103 sequences. (Running on oeis4.)