A064628 a(n) = floor((4/3)^n).
1, 1, 1, 2, 3, 4, 5, 7, 9, 13, 17, 23, 31, 42, 56, 74, 99, 133, 177, 236, 315, 420, 560, 747, 996, 1328, 1771, 2362, 3149, 4199, 5599, 7466, 9954, 13273, 17697, 23596, 31462, 41950, 55933, 74577, 99437, 132583, 176777, 235703, 314271, 419028, 558704
Offset: 0
References
- R. K. Guy, Unsolved Problems in Number Theory, E19.
Links
- Harry J. Smith, Table of n, a(n) for n=0,...,400
- Arturas Dubickas and Aivaras Novikas, Integer parts of powers of rational numbers, Math. Z. 251 (2005), 635--648, available from the first author's page.
- W. Forman and H. N. Shapiro, An arithmetic property of certain rational powers, Comm. Pure. Appl. Math. 20 (1967), 561-573.
- Kival Ngaokrajang, Illustration of hexaflake for n = 0..3.
- Eric Weisstein's World of Mathematics, Power Floors.
- Wikipedia, n-flake.
Crossrefs
Programs
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Maple
A064628:=n->floor(4^n/3^n); seq(A064628(n), n=0..30); # Wesley Ivan Hurt, Apr 19 2014
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Mathematica
Table[Floor[(4/3)^n], {n, 0, 30}] (* Robert G. Wilson v *) -
PARI
{ f=t=1; for (n=0, 400, write("b064628.txt", n, " ", f\t); f*=4; t*=3 ) } \\ Harry J. Smith, Sep 20 2009 -
Sage
def A064628(n): return floor((4/3)^n) [A064628(n) for n in range(0, 46)] # Stefano Spezia, Oct 13 2024
Extensions
More terms from Robert G. Wilson v, May 26 2004
OFFSET changed from 1 to 0 by Harry J. Smith, Sep 20 2009
Comments