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A003623 From a 3-way splitting of positive integers: [[n*phi^2]*phi].
(Formerly M2715)
+0
14
3, 8, 11, 16, 21, 24, 29, 32, 37, 42, 45, 50, 55, 58, 63, 66, 71, 76, 79, 84, 87, 92, 97, 100, 105, 110, 113, 118, 121, 126, 131, 134, 139, 144, 147, 152, 155, 160, 165, 168, 173, 176, 181, 186, 189, 194, 199, 202, 207, 210, 215, 220, 223, 228, 231, 236, 241, 244, 249 (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).

J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 10.

LINKS

Index entries for sequences related to Beatty sequences

FORMULA

Also a(n) = floor(n*phi) + floor(n*phi^2) = A000201(n) + A001950(n). - Clark Kimberling

a(n)=A(B(n)) with A(k):=A000201(k) and B(k):=A001950(k), k>=1 (Wythoff AB-numbers).

CROSSREFS

Cf. A003622.

Sequence in context: A111132 A003234 A047470 this_sequence A058572 A154485 A105410

Adjacent sequences: A003620 A003621 A003622 this_sequence A003624 A003625 A003626

KEYWORD

nonn,nice,easy

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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