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A003231 floor(n*(sqrt(5)+5)/2)
(Formerly M2618)
+0
1
3, 7, 10, 14, 18, 21, 25, 28, 32, 36, 39, 43, 47, 50, 54, 57, 61, 65, 68, 72, 75, 79, 83, 86, 90, 94, 97, 101, 104, 108, 112, 115, 119, 123, 126, 130, 133, 137, 141, 144, 148, 151, 155, 159, 162, 166, 170, 173, 177, 180, 184, 188, 191, 195, 198, 202, 206, 209 (list; graph; listen)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

L. Carlitz, R. Scoville and T. Vaughan, Some arithmetic functions related to Fibonacci numbers, Fib. Quart., 11 (1973), 337-386.

LINKS

Index entries for sequences related to Beatty sequences

PROGRAM

(PARI) a(n)=floor(n*(sqrt(5)+5)/2)

CROSSREFS

Sequence in context: A027704 A047355 A098005 this_sequence A140487 A043722 A120738

Adjacent sequences: A003228 A003229 A003230 this_sequence A003232 A003233 A003234

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Better description and more terms from Michael Somos, Jun 07 2000.

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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