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A242570
a(n) = 252 * n.
0
0, 252, 504, 756, 1008, 1260, 1512, 1764, 2016, 2268, 2520, 2772, 3024, 3276, 3528, 3780, 4032, 4284, 4536, 4788, 5040, 5292, 5544, 5796, 6048, 6300, 6552, 6804, 7056, 7308, 7560, 7812, 8064, 8316, 8568, 8820, 9072, 9324, 9576, 9828, 10080, 10332, 10584, 10836, 11088, 11340
OFFSET
0,2
COMMENTS
As lcm(1,2,3,...,9) = 2520, 10*a(n) + k is divisible by each k from 1 through 9.
FORMULA
From Elmo R. Oliveira, Apr 16 2024: (Start)
G.f.: 252*x/(x-1)^2.
E.g.f.: 252*x*exp(x).
a(n) = 2*a(n-1) - a(n-2) for n >= 2.
a(n) = 7*A044102(n) = 9*A135628(n) = 12*A008603(n) = 14*A008600(n) = 18*A008596(n) = 21*A008594(n) = 28*A008591(n) = 36*A008589(n) = 252*A001477(n). (End)
MATHEMATICA
252*Range[0, 49] (* Alonso del Arte, May 17 2014 *)
PROG
(PARI) for(n=0, 50, print(252*n))
KEYWORD
nonn,easy,less
AUTHOR
Derek Orr, May 17 2014
STATUS
approved