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 A209876 a(n) = 36*n - 6. 0
 30, 66, 102, 138, 174, 210, 246, 282, 318, 354, 390, 426, 462, 498, 534, 570, 606, 642, 678, 714, 750, 786, 822, 858, 894, 930, 966, 1002, 1038, 1074, 1110, 1146, 1182, 1218, 1254, 1290, 1326, 1362, 1398, 1434, 1470, 1506, 1542, 1578, 1614, 1650, 1686, 1722, 1758, 1794, 1830, 1866, 1902, 1938, 1974 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS It appears that the sum of divisors of each term is a multiple of 36. For example, the divisors of a(3)=102 are {1, 2, 3, 6, 17, 34, 51, 102}, with sum 216=6*36. It also appears that the sum of divisors of each term of {K*n-6} is a multiple of K for K = 72, 144, and 288. LINKS Table of n, a(n) for n=1..55. Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA G.f.: (6x+30)/(x-1)^2 - Harvey P. Dale, Jun 18 2021 MATHEMATICA 36*Range[60]-6 (* or *) LinearRecurrence[{2, -1}, {30, 66}, 60] (* Harvey P. Dale, Jun 18 2021 *) CROSSREFS Cf. A183010. Sequence in context: A175259 A044132 A044513 * A290145 A157346 A219543 Adjacent sequences: A209873 A209874 A209875 * A209877 A209878 A209879 KEYWORD nonn AUTHOR John W. Layman, Mar 14 2012 STATUS approved

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Last modified July 18 04:06 EDT 2024. Contains 374377 sequences. (Running on oeis4.)