A152737 -id:A152737 - cp's OEIS frontend

A152850 First differences of A152737.

1, 2, 2, 4, 4, 5, 5, 5, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 12, 11, 12, 13, 12, 13, 13, 13, 14, 14, 14, 15, 14, 15, 15, 16, 16, 15, 17, 16, 17, 17, 17, 17, 18, 17, 19, 18, 18, 19, 19, 19, 19

Offset: 0

Paul Curtz, Dec 14 2008

nonn

A152738 a(n) = floor((n^2)/phi).

Original entry on oeis.org

0, 0, 2, 5, 9, 15, 22, 30, 39, 50, 61, 74, 88, 104, 121, 139, 158, 178, 200, 223, 247, 272, 299, 326, 355, 386, 417, 450, 484, 519, 556, 593, 632, 673, 714, 757, 800, 846, 892, 940, 988, 1038, 1090, 1142, 1196, 1251, 1307, 1365, 1423, 1483, 1545, 1607, 1671

Offset: 0

Vladimir Joseph Stephan Orlovsky, Dec 12 2008

nonn

G. C. Greubel, Table of n, a(n) for n = 0..5000

Cf. A014217, A152737, A032616, A032635.

phi:=(1+Sqrt(5))/2; [Floor(n^2/phi): n in [0..30]]; // G. C. Greubel, Sep 01 2018

Mathematica
```
a[n_]:=Floor[(n^2)/GoldenRatio];
```

a(n)=n^2\((1+sqrt(5))/2) \\ Charles R Greathouse IV, Jul 29 2011

Offset corrected by B. D. Swan, Jan 03 2009

cp's OEIS Frontend

A152850 First differences of A152737.

Views

Author

Keywords

A152738 a(n) = floor((n^2)/phi).

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

PARI

Extensions