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

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..150

Wikipedia, Sexagesimal

Index entries for linear recurrences with constant coefficients, signature (60).

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

Example

G.f. = 1 + 60*x + 3600*x^2 + 216000*x^3 + 12960000*x^4 + 77600000*x^5 + ... - Michael Somos, Jan 01 2019

Maple

[60^n$n=0..20]; # Muniru A Asiru, Nov 21 2018

Mathematica

60^Range[0, 15] (* Harvey P. Dale, Jun 02 2011 *)

Prog

(Magma)[60^n: n in [0..20]]; // Vincenzo Librandi, May 02 2011
(PARI) a(n)=60^n \\ Charles R Greathouse IV, May 02 2011
(Maxima) A159991(n):=60^n$
makelist(A159991(n), n, 0, 30); /* Martin Ettl, Nov 05 2012 */
(PARI) a(n)=60^n \\ Charles R Greathouse IV, Jun 19 2015
(PARI) powers(60, 8) \\ Charles R Greathouse IV, Jun 19 2015
(GAP) List([0..20], n->60^n); # Muniru A Asiru, Nov 21 2018
(Python) for n in range(0, 20): print(60**n, end=', ') # Stefano Spezia, Nov 21 2018

Crossrefs

Subsequence of A051037.

Cf. A159990, A159993, A159995, A088157, A091649, A125628, A091720, A091721, A091722, A060707, A070197.

Sequence in context: A375666 A267930 A267977 * A042741 A166772 A293091

Adjacent sequences: A159988 A159989 A159990 * A159992 A159993 A159994

Keyword

nonn,easy

Author

Reinhard Zumkeller, May 01 2009

Status

approved