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URL: https://oeis.org/A008594

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A008594
Multiples of 12.
56
0, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636
OFFSET
0,2
COMMENTS
Apart from initial term(s), dimension of the space of weight 2n cusp forms for Gamma_0( 36 ).
The positive terms are the differences of consecutive star numbers (A003154). - Mihir Mathur, Jun 07 2013
A089911(a(n)) = 0. - Reinhard Zumkeller, Jul 05 2013
a(1) = 12 is a primitive abundant number, thus all a(n), n >= 2, are nonprimitive abundant numbers. - Daniel Forgues, Sep 24 2016
LINKS
Tanya Khovanova, Recursive Sequences.
Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081 [math.CO], 2014.
William A. Stein, The modular forms database.
Wikipedia, Star Number.
FORMULA
From Vincenzo Librandi, Jun 11 2011: (Start)
a(n) = 12*n.
a(n) = 2*a(n-1) - a(n-2) for n > 1.
G.f.: 12*x/(1-x)^2. (End)
a(n) = A003154(n) - A003154(n-1). - Mihir Mathur, Jun 07 2013
From Elmo R. Oliveira, Apr 10 2025: (Start)
E.g.f.: 12*x*exp(x).
a(n) = 2*A008588(n) = A008606(n)/2. (End)
MAPLE
A008594:=n->12*n: seq(A008594(n), n=0..100); # Wesley Ivan Hurt, Sep 24 2016
MATHEMATICA
12*Range[0, 200] (* Vladimir Joseph Stephan Orlovsky, Feb 19 2011 *)
NestList[12+#&, 0, 60] (* Harvey P. Dale, Feb 02 2022 *)
PROG
(Magma) [12*n: n in [0..50]]; // Vincenzo Librandi, Jun 11 2011
(Haskell)
a008594 = (* 12)
a008594_list = [0, 12 ..] -- Reinhard Zumkeller, Dec 12 2012
(PARI) a(n)=12*n \\ Charles R Greathouse IV, Apr 21 2015
CROSSREFS
Subsequence of A072065 and A121032.
Sequence in context: A044852 A121578 A044897 * A033024 A044837 A033009
KEYWORD
nonn,easy
STATUS
approved