A159991 Powers of 60: a(n) = 60^n.
1, 60, 3600, 216000, 12960000, 777600000, 46656000000, 2799360000000, 167961600000000, 10077696000000000, 604661760000000000, 36279705600000000000, 2176782336000000000000, 130606940160000000000000, 7836416409600000000000000, 470184984576000000000000000
Offset: 0
Examples
G.f. = 1 + 60*x + 3600*x^2 + 216000*x^3 + 12960000*x^4 + 77600000*x^5 + ... - _Michael Somos_, Jan 01 2019
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..150
- Wikipedia, Sexagesimal
- Index entries for linear recurrences with constant coefficients, signature (60).
Crossrefs
Programs
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GAP
List([0..20],n->60^n); # Muniru A Asiru, Nov 21 2018
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Magma
[60^n: n in [0..20]]; // Vincenzo Librandi, May 02 2011
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Maple
[60^n$n=0..20]; # Muniru A Asiru, Nov 21 2018
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Mathematica
60^Range[0,15] (* Harvey P. Dale, Jun 02 2011 *)
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Maxima
A159991(n):=60^n$ makelist(A159991(n),n,0,30); /* Martin Ettl, Nov 05 2012 */
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PARI
a(n)=60^n \\ Charles R Greathouse IV, May 02 2011
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PARI
a(n)=60^n \\ Charles R Greathouse IV, Jun 19 2015
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PARI
powers(60,8) \\ Charles R Greathouse IV, Jun 19 2015
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Python
for n in range(0,20): print(60**n, end=', ') # Stefano Spezia, Nov 21 2018
Formula
a(n) = A000400(n)*A011557(n) = A000351(n)*A001021(n) = A000302(n)*A001024(n) = A000244(n)*A009964(n). (Corrected by Robert B Fowler, Jan 25 2023)
From Muniru A Asiru, Nov 21 2018: (Start)
a(n) = 60^n.
a(n) = 60*a(n-1) for n > 0, a(0) = 1.
G.f.: 1/(1-60*x).
E.g.f: exp(60*x). (End)
a(n) = 1/a(-n) for all n in Z. - Michael Somos, Jan 01 2019
Comments